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Finding the Third Proportional to 230,868 and 354,627

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Solution

The third proportional to 230,868 and 354,627 is: 544,728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,868 : 354,627 = 354,627 : x
  2. Step 2: Convert to fraction form
    230,868/354,627 = 354,627/x
  3. Step 3: Cross multiply
    230,868x = 354,627 × 354,627
  4. Step 4: Simplify right side
    230,868x = 125,760,309,129
  5. Step 5: Solve for x
    x = 125,760,309,129/230,868
  6. Step 6: Final answer
    x = 544,728.20

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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.