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Finding the Third Proportional to 151,157 and 329,945

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Solution

The third proportional to 151,157 and 329,945 is: 720,202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,157 : 329,945 = 329,945 : x
  2. Step 2: Convert to fraction form
    151,157/329,945 = 329,945/x
  3. Step 3: Cross multiply
    151,157x = 329,945 × 329,945
  4. Step 4: Simplify right side
    151,157x = 108,863,703,025
  5. Step 5: Solve for x
    x = 108,863,703,025/151,157
  6. Step 6: Final answer
    x = 720,202.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.