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Finding the Third Proportional to 128,531.81 and 280,862.44

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Solution

The third proportional to 128,531.81 and 280,862.44 is: 613,729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,531.81 : 280,862.44 = 280,862.44 : x
  2. Step 2: Convert to fraction form
    128,531.81/280,862.44 = 280,862.44/x
  3. Step 3: Cross multiply
    128,531.81x = 280,862.44 × 280,862.44
  4. Step 4: Simplify right side
    128,531.81x = 78,883,708,798.44
  5. Step 5: Solve for x
    x = 78,883,708,798.44/128,531.81
  6. Step 6: Final answer
    x = 613,729.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.