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Finding the Third Proportional to 138,304 and 281,685

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Solution

The third proportional to 138,304 and 281,685 is: 573,710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,304 : 281,685 = 281,685 : x
  2. Step 2: Convert to fraction form
    138,304/281,685 = 281,685/x
  3. Step 3: Cross multiply
    138,304x = 281,685 × 281,685
  4. Step 4: Simplify right side
    138,304x = 79,346,439,225
  5. Step 5: Solve for x
    x = 79,346,439,225/138,304
  6. Step 6: Final answer
    x = 573,710.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.