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Finding the Third Proportional to 218,612 and 329,926

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Solution

The third proportional to 218,612 and 329,926 is: 497,919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,612 : 329,926 = 329,926 : x
  2. Step 2: Convert to fraction form
    218,612/329,926 = 329,926/x
  3. Step 3: Cross multiply
    218,612x = 329,926 × 329,926
  4. Step 4: Simplify right side
    218,612x = 108,851,165,476
  5. Step 5: Solve for x
    x = 108,851,165,476/218,612
  6. Step 6: Final answer
    x = 497,919.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.