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Finding the Third Proportional to 218,115.84 and 325,871.44

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Solution

The third proportional to 218,115.84 and 325,871.44 is: 486,861.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,115.84 : 325,871.44 = 325,871.44 : x
  2. Step 2: Convert to fraction form
    218,115.84/325,871.44 = 325,871.44/x
  3. Step 3: Cross multiply
    218,115.84x = 325,871.44 × 325,871.44
  4. Step 4: Simplify right side
    218,115.84x = 106,192,193,778.32
  5. Step 5: Solve for x
    x = 106,192,193,778.32/218,115.84
  6. Step 6: Final answer
    x = 486,861.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.