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Finding the Third Proportional to 140,930 and 218,122.50

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Solution

The third proportional to 140,930 and 218,122.50 is: 337,596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,930 : 218,122.50 = 218,122.50 : x
  2. Step 2: Convert to fraction form
    140,930/218,122.50 = 218,122.50/x
  3. Step 3: Cross multiply
    140,930x = 218,122.50 × 218,122.50
  4. Step 4: Simplify right side
    140,930x = 47,577,425,006.25
  5. Step 5: Solve for x
    x = 47,577,425,006.25/140,930
  6. Step 6: Final answer
    x = 337,596.15

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Why These Related Problems?

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