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Finding the Third Proportional to 107,167.50 and 232,785

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Solution

The third proportional to 107,167.50 and 232,785 is: 505,646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,167.50 : 232,785 = 232,785 : x
  2. Step 2: Convert to fraction form
    107,167.50/232,785 = 232,785/x
  3. Step 3: Cross multiply
    107,167.50x = 232,785 × 232,785
  4. Step 4: Simplify right side
    107,167.50x = 54,188,856,225
  5. Step 5: Solve for x
    x = 54,188,856,225/107,167.50
  6. Step 6: Final answer
    x = 505,646.36

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Why These Related Problems?

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