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Finding the Third Proportional to 138,560.25 and 208,455.75

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Solution

The third proportional to 138,560.25 and 208,455.75 is: 313,609.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,560.25 : 208,455.75 = 208,455.75 : x
  2. Step 2: Convert to fraction form
    138,560.25/208,455.75 = 208,455.75/x
  3. Step 3: Cross multiply
    138,560.25x = 208,455.75 × 208,455.75
  4. Step 4: Simplify right side
    138,560.25x = 43,453,799,708.06
  5. Step 5: Solve for x
    x = 43,453,799,708.06/138,560.25
  6. Step 6: Final answer
    x = 313,609.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.