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Finding the Third Proportional to 151,500 and 329,208

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Solution

The third proportional to 151,500 and 329,208 is: 715,365.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,500 : 329,208 = 329,208 : x
  2. Step 2: Convert to fraction form
    151,500/329,208 = 329,208/x
  3. Step 3: Cross multiply
    151,500x = 329,208 × 329,208
  4. Step 4: Simplify right side
    151,500x = 108,377,907,264
  5. Step 5: Solve for x
    x = 108,377,907,264/151,500
  6. Step 6: Final answer
    x = 715,365.72

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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.