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Finding the Third Proportional to 140,150.25 and 220,269.38

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Solution

The third proportional to 140,150.25 and 220,269.38 is: 346,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,150.25 : 220,269.38 = 220,269.38 : x
  2. Step 2: Convert to fraction form
    140,150.25/220,269.38 = 220,269.38/x
  3. Step 3: Cross multiply
    140,150.25x = 220,269.38 × 220,269.38
  4. Step 4: Simplify right side
    140,150.25x = 48,518,597,562.89
  5. Step 5: Solve for x
    x = 48,518,597,562.89/140,150.25
  6. Step 6: Final answer
    x = 346,189.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.