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Finding the Third Proportional to 182,753 and 274,129

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Solution

The third proportional to 182,753 and 274,129 is: 411,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,753 : 274,129 = 274,129 : x
  2. Step 2: Convert to fraction form
    182,753/274,129 = 274,129/x
  3. Step 3: Cross multiply
    182,753x = 274,129 × 274,129
  4. Step 4: Simplify right side
    182,753x = 75,146,708,641
  5. Step 5: Solve for x
    x = 75,146,708,641/182,753
  6. Step 6: Final answer
    x = 411,192.75

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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.