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Finding the Third Proportional to 157,489.31 and 237,524.91

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Solution

The third proportional to 157,489.31 and 237,524.91 is: 358,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,489.31 : 237,524.91 = 237,524.91 : x
  2. Step 2: Convert to fraction form
    157,489.31/237,524.91 = 237,524.91/x
  3. Step 3: Cross multiply
    157,489.31x = 237,524.91 × 237,524.91
  4. Step 4: Simplify right side
    157,489.31x = 56,418,081,089.07
  5. Step 5: Solve for x
    x = 56,418,081,089.07/157,489.31
  6. Step 6: Final answer
    x = 358,234.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.