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Finding the Third Proportional to 140,537.25 and 220,218.75

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Solution

The third proportional to 140,537.25 and 220,218.75 is: 345,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,537.25 : 220,218.75 = 220,218.75 : x
  2. Step 2: Convert to fraction form
    140,537.25/220,218.75 = 220,218.75/x
  3. Step 3: Cross multiply
    140,537.25x = 220,218.75 × 220,218.75
  4. Step 4: Simplify right side
    140,537.25x = 48,496,297,851.56
  5. Step 5: Solve for x
    x = 48,496,297,851.56/140,537.25
  6. Step 6: Final answer
    x = 345,077.89

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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.