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Finding the Third Proportional to 230,240,145 and 354,252,924

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Solution

The third proportional to 230,240,145 and 354,252,924 is: 545,061,914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,240,145 : 354,252,924 = 354,252,924 : x
  2. Step 2: Convert to fraction form
    230,240,145/354,252,924 = 354,252,924/x
  3. Step 3: Cross multiply
    230,240,145x = 354,252,924 × 354,252,924
  4. Step 4: Simplify right side
    230,240,145x = 125,495,134,162,549,776
  5. Step 5: Solve for x
    x = 125,495,134,162,549,776/230,240,145
  6. Step 6: Final answer
    x = 545,061,914.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.