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Finding the Third Proportional to 182,166 and 275,791

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Solution

The third proportional to 182,166 and 275,791 is: 417,534.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,166 : 275,791 = 275,791 : x
  2. Step 2: Convert to fraction form
    182,166/275,791 = 275,791/x
  3. Step 3: Cross multiply
    182,166x = 275,791 × 275,791
  4. Step 4: Simplify right side
    182,166x = 76,060,675,681
  5. Step 5: Solve for x
    x = 76,060,675,681/182,166
  6. Step 6: Final answer
    x = 417,534.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.