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Finding the Third Proportional to 151,503 and 329,214

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Solution

The third proportional to 151,503 and 329,214 is: 715,377.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,503 : 329,214 = 329,214 : x
  2. Step 2: Convert to fraction form
    151,503/329,214 = 329,214/x
  3. Step 3: Cross multiply
    151,503x = 329,214 × 329,214
  4. Step 4: Simplify right side
    151,503x = 108,381,857,796
  5. Step 5: Solve for x
    x = 108,381,857,796/151,503
  6. Step 6: Final answer
    x = 715,377.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.