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Finding the Third Proportional to 140,053.50 and 217,221.75

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Solution

The third proportional to 140,053.50 and 217,221.75 is: 336,909.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,053.50 : 217,221.75 = 217,221.75 : x
  2. Step 2: Convert to fraction form
    140,053.50/217,221.75 = 217,221.75/x
  3. Step 3: Cross multiply
    140,053.50x = 217,221.75 × 217,221.75
  4. Step 4: Simplify right side
    140,053.50x = 47,185,288,673.06
  5. Step 5: Solve for x
    x = 47,185,288,673.06/140,053.50
  6. Step 6: Final answer
    x = 336,909.03

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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.