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Finding the Third Proportional to 138,241.69 and 208,630.69

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Solution

The third proportional to 138,241.69 and 208,630.69 is: 314,859.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,241.69 : 208,630.69 = 208,630.69 : x
  2. Step 2: Convert to fraction form
    138,241.69/208,630.69 = 208,630.69/x
  3. Step 3: Cross multiply
    138,241.69x = 208,630.69 × 208,630.69
  4. Step 4: Simplify right side
    138,241.69x = 43,526,763,766.72
  5. Step 5: Solve for x
    x = 43,526,763,766.72/138,241.69
  6. Step 6: Final answer
    x = 314,859.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.