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Finding the Third Proportional to 181,042 and 274,479

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Solution

The third proportional to 181,042 and 274,479 is: 416,139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,042 : 274,479 = 274,479 : x
  2. Step 2: Convert to fraction form
    181,042/274,479 = 274,479/x
  3. Step 3: Cross multiply
    181,042x = 274,479 × 274,479
  4. Step 4: Simplify right side
    181,042x = 75,338,721,441
  5. Step 5: Solve for x
    x = 75,338,721,441/181,042
  6. Step 6: Final answer
    x = 416,139.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.