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Finding the Third Proportional to 185,920 and 279,304

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Solution

The third proportional to 185,920 and 279,304 is: 419,592.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,920 : 279,304 = 279,304 : x
  2. Step 2: Convert to fraction form
    185,920/279,304 = 279,304/x
  3. Step 3: Cross multiply
    185,920x = 279,304 × 279,304
  4. Step 4: Simplify right side
    185,920x = 78,010,724,416
  5. Step 5: Solve for x
    x = 78,010,724,416/185,920
  6. Step 6: Final answer
    x = 419,592.97

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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.