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Finding the Third Proportional to 129,534.88 and 280,136.75

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Solution

The third proportional to 129,534.88 and 280,136.75 is: 605,833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,534.88 : 280,136.75 = 280,136.75 : x
  2. Step 2: Convert to fraction form
    129,534.88/280,136.75 = 280,136.75/x
  3. Step 3: Cross multiply
    129,534.88x = 280,136.75 × 280,136.75
  4. Step 4: Simplify right side
    129,534.88x = 78,476,598,700.56
  5. Step 5: Solve for x
    x = 78,476,598,700.56/129,534.88
  6. Step 6: Final answer
    x = 605,833.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.