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Finding the Third Proportional to 218,407 and 329,151

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Solution

The third proportional to 218,407 and 329,151 is: 496,048.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,407 : 329,151 = 329,151 : x
  2. Step 2: Convert to fraction form
    218,407/329,151 = 329,151/x
  3. Step 3: Cross multiply
    218,407x = 329,151 × 329,151
  4. Step 4: Simplify right side
    218,407x = 108,340,380,801
  5. Step 5: Solve for x
    x = 108,340,380,801/218,407
  6. Step 6: Final answer
    x = 496,048.12

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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.