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Finding the Third Proportional to 182,752.25 and 274,127.38

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Solution

The third proportional to 182,752.25 and 274,127.38 is: 411,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,752.25 : 274,127.38 = 274,127.38 : x
  2. Step 2: Convert to fraction form
    182,752.25/274,127.38 = 274,127.38/x
  3. Step 3: Cross multiply
    182,752.25x = 274,127.38 × 274,127.38
  4. Step 4: Simplify right side
    182,752.25x = 75,145,817,724.39
  5. Step 5: Solve for x
    x = 75,145,817,724.39/182,752.25
  6. Step 6: Final answer
    x = 411,189.56

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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.