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Finding the Third Proportional to 177,732.75 and 272,538

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Solution

The third proportional to 177,732.75 and 272,538 is: 417,913.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,732.75 : 272,538 = 272,538 : x
  2. Step 2: Convert to fraction form
    177,732.75/272,538 = 272,538/x
  3. Step 3: Cross multiply
    177,732.75x = 272,538 × 272,538
  4. Step 4: Simplify right side
    177,732.75x = 74,276,961,444
  5. Step 5: Solve for x
    x = 74,276,961,444/177,732.75
  6. Step 6: Final answer
    x = 417,913.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.