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Finding the Third Proportional to 129,130.50 and 279,708

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Solution

The third proportional to 129,130.50 and 279,708 is: 605,872.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,130.50 : 279,708 = 279,708 : x
  2. Step 2: Convert to fraction form
    129,130.50/279,708 = 279,708/x
  3. Step 3: Cross multiply
    129,130.50x = 279,708 × 279,708
  4. Step 4: Simplify right side
    129,130.50x = 78,236,565,264
  5. Step 5: Solve for x
    x = 78,236,565,264/129,130.50
  6. Step 6: Final answer
    x = 605,872.08

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