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Finding the Third Proportional to 129,767.70 and 278,945.02

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Solution

The third proportional to 129,767.70 and 278,945.02 is: 599,612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,767.70 : 278,945.02 = 278,945.02 : x
  2. Step 2: Convert to fraction form
    129,767.70/278,945.02 = 278,945.02/x
  3. Step 3: Cross multiply
    129,767.70x = 278,945.02 × 278,945.02
  4. Step 4: Simplify right side
    129,767.70x = 77,810,321,742.03
  5. Step 5: Solve for x
    x = 77,810,321,742.03/129,767.70
  6. Step 6: Final answer
    x = 599,612.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.