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Finding the Third Proportional to 140,967 and 218,614.50

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Solution

The third proportional to 140,967 and 218,614.50 is: 339,031.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,967 : 218,614.50 = 218,614.50 : x
  2. Step 2: Convert to fraction form
    140,967/218,614.50 = 218,614.50/x
  3. Step 3: Cross multiply
    140,967x = 218,614.50 × 218,614.50
  4. Step 4: Simplify right side
    140,967x = 47,792,299,610.25
  5. Step 5: Solve for x
    x = 47,792,299,610.25/140,967
  6. Step 6: Final answer
    x = 339,031.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.