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Finding the Third Proportional to 129,362.75 and 278,398

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Solution

The third proportional to 129,362.75 and 278,398 is: 599,132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,362.75 : 278,398 = 278,398 : x
  2. Step 2: Convert to fraction form
    129,362.75/278,398 = 278,398/x
  3. Step 3: Cross multiply
    129,362.75x = 278,398 × 278,398
  4. Step 4: Simplify right side
    129,362.75x = 77,505,446,404
  5. Step 5: Solve for x
    x = 77,505,446,404/129,362.75
  6. Step 6: Final answer
    x = 599,132.64

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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.