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Finding the Third Proportional to 157,332.75 and 235,945.13

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Solution

The third proportional to 157,332.75 and 235,945.13 is: 353,836.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,332.75 : 235,945.13 = 235,945.13 : x
  2. Step 2: Convert to fraction form
    157,332.75/235,945.13 = 235,945.13/x
  3. Step 3: Cross multiply
    157,332.75x = 235,945.13 × 235,945.13
  4. Step 4: Simplify right side
    157,332.75x = 55,670,102,011.27
  5. Step 5: Solve for x
    x = 55,670,102,011.27/157,332.75
  6. Step 6: Final answer
    x = 353,836.71

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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.