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Finding the Third Proportional to 181,336 and 280,092

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Solution

The third proportional to 181,336 and 280,092 is: 432,630.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,336 : 280,092 = 280,092 : x
  2. Step 2: Convert to fraction form
    181,336/280,092 = 280,092/x
  3. Step 3: Cross multiply
    181,336x = 280,092 × 280,092
  4. Step 4: Simplify right side
    181,336x = 78,451,528,464
  5. Step 5: Solve for x
    x = 78,451,528,464/181,336
  6. Step 6: Final answer
    x = 432,630.74

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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.