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Finding the Third Proportional to 181,932 and 280,674

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Solution

The third proportional to 181,932 and 280,674 is: 433,007.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,932 : 280,674 = 280,674 : x
  2. Step 2: Convert to fraction form
    181,932/280,674 = 280,674/x
  3. Step 3: Cross multiply
    181,932x = 280,674 × 280,674
  4. Step 4: Simplify right side
    181,932x = 78,777,894,276
  5. Step 5: Solve for x
    x = 78,777,894,276/181,932
  6. Step 6: Final answer
    x = 433,007.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.