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Finding the Third Proportional to 129,800.53 and 281,744.44

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Solution

The third proportional to 129,800.53 and 281,744.44 is: 611,553.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,800.53 : 281,744.44 = 281,744.44 : x
  2. Step 2: Convert to fraction form
    129,800.53/281,744.44 = 281,744.44/x
  3. Step 3: Cross multiply
    129,800.53x = 281,744.44 × 281,744.44
  4. Step 4: Simplify right side
    129,800.53x = 79,379,928,062.19
  5. Step 5: Solve for x
    x = 79,379,928,062.19/129,800.53
  6. Step 6: Final answer
    x = 611,553.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.