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Finding the Third Proportional to 177,744 and 375,472

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Solution

The third proportional to 177,744 and 375,472 is: 793,158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,744 : 375,472 = 375,472 : x
  2. Step 2: Convert to fraction form
    177,744/375,472 = 375,472/x
  3. Step 3: Cross multiply
    177,744x = 375,472 × 375,472
  4. Step 4: Simplify right side
    177,744x = 140,979,222,784
  5. Step 5: Solve for x
    x = 140,979,222,784/177,744
  6. Step 6: Final answer
    x = 793,158.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.