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Finding the Third Proportional to 157,651.31 and 244,781.16

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Solution

The third proportional to 157,651.31 and 244,781.16 is: 380,065.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,651.31 : 244,781.16 = 244,781.16 : x
  2. Step 2: Convert to fraction form
    157,651.31/244,781.16 = 244,781.16/x
  3. Step 3: Cross multiply
    157,651.31x = 244,781.16 × 244,781.16
  4. Step 4: Simplify right side
    157,651.31x = 59,917,814,455.09
  5. Step 5: Solve for x
    x = 59,917,814,455.09/157,651.31
  6. Step 6: Final answer
    x = 380,065.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.