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Finding the Third Proportional to 218,254 and 329,325

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Solution

The third proportional to 218,254 and 329,325 is: 496,920.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,254 : 329,325 = 329,325 : x
  2. Step 2: Convert to fraction form
    218,254/329,325 = 329,325/x
  3. Step 3: Cross multiply
    218,254x = 329,325 × 329,325
  4. Step 4: Simplify right side
    218,254x = 108,454,955,625
  5. Step 5: Solve for x
    x = 108,454,955,625/218,254
  6. Step 6: Final answer
    x = 496,920.82

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