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Finding the Third Proportional to 157,332.38 and 235,998.56

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Solution

The third proportional to 157,332.38 and 235,998.56 is: 353,997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,332.38 : 235,998.56 = 235,998.56 : x
  2. Step 2: Convert to fraction form
    157,332.38/235,998.56 = 235,998.56/x
  3. Step 3: Cross multiply
    157,332.38x = 235,998.56 × 235,998.56
  4. Step 4: Simplify right side
    157,332.38x = 55,695,321,502.07
  5. Step 5: Solve for x
    x = 55,695,321,502.07/157,332.38
  6. Step 6: Final answer
    x = 353,997.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.