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Finding the Third Proportional to 129,446.44 and 282,425.91

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Solution

The third proportional to 129,446.44 and 282,425.91 is: 616,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,446.44 : 282,425.91 = 282,425.91 : x
  2. Step 2: Convert to fraction form
    129,446.44/282,425.91 = 282,425.91/x
  3. Step 3: Cross multiply
    129,446.44x = 282,425.91 × 282,425.91
  4. Step 4: Simplify right side
    129,446.44x = 79,764,392,521.13
  5. Step 5: Solve for x
    x = 79,764,392,521.13/129,446.44
  6. Step 6: Final answer
    x = 616,196.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.