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Finding the Third Proportional to 218,536 and 329,814

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Solution

The third proportional to 218,536 and 329,814 is: 497,754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,536 : 329,814 = 329,814 : x
  2. Step 2: Convert to fraction form
    218,536/329,814 = 329,814/x
  3. Step 3: Cross multiply
    218,536x = 329,814 × 329,814
  4. Step 4: Simplify right side
    218,536x = 108,777,274,596
  5. Step 5: Solve for x
    x = 108,777,274,596/218,536
  6. Step 6: Final answer
    x = 497,754.49

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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.