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Finding the Third Proportional to 107,141 and 230,407

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Solution

The third proportional to 107,141 and 230,407 is: 495,490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,141 : 230,407 = 230,407 : x
  2. Step 2: Convert to fraction form
    107,141/230,407 = 230,407/x
  3. Step 3: Cross multiply
    107,141x = 230,407 × 230,407
  4. Step 4: Simplify right side
    107,141x = 53,087,385,649
  5. Step 5: Solve for x
    x = 53,087,385,649/107,141
  6. Step 6: Final answer
    x = 495,490.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.