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Finding the Third Proportional to 176,332.50 and 247,773.38

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Solution

The third proportional to 176,332.50 and 247,773.38 is: 348,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,332.50 : 247,773.38 = 247,773.38 : x
  2. Step 2: Convert to fraction form
    176,332.50/247,773.38 = 247,773.38/x
  3. Step 3: Cross multiply
    176,332.50x = 247,773.38 × 247,773.38
  4. Step 4: Simplify right side
    176,332.50x = 61,391,645,358.89
  5. Step 5: Solve for x
    x = 61,391,645,358.89/176,332.50
  6. Step 6: Final answer
    x = 348,158.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.