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Finding the Third Proportional to 135,655.88 and 286,531.88

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Solution

The third proportional to 135,655.88 and 286,531.88 is: 605,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,655.88 : 286,531.88 = 286,531.88 : x
  2. Step 2: Convert to fraction form
    135,655.88/286,531.88 = 286,531.88/x
  3. Step 3: Cross multiply
    135,655.88x = 286,531.88 × 286,531.88
  4. Step 4: Simplify right side
    135,655.88x = 82,100,515,391.02
  5. Step 5: Solve for x
    x = 82,100,515,391.02/135,655.88
  6. Step 6: Final answer
    x = 605,211.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.