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Finding the Third Proportional to 140,734.13 and 218,230.88

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Solution

The third proportional to 140,734.13 and 218,230.88 is: 338,402.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,734.13 : 218,230.88 = 218,230.88 : x
  2. Step 2: Convert to fraction form
    140,734.13/218,230.88 = 218,230.88/x
  3. Step 3: Cross multiply
    140,734.13x = 218,230.88 × 218,230.88
  4. Step 4: Simplify right side
    140,734.13x = 47,624,714,803.27
  5. Step 5: Solve for x
    x = 47,624,714,803.27/140,734.13
  6. Step 6: Final answer
    x = 338,402.04

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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.