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Finding the Third Proportional to 182,095.50 and 397,374

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Solution

The third proportional to 182,095.50 and 397,374 is: 867,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,095.50 : 397,374 = 397,374 : x
  2. Step 2: Convert to fraction form
    182,095.50/397,374 = 397,374/x
  3. Step 3: Cross multiply
    182,095.50x = 397,374 × 397,374
  4. Step 4: Simplify right side
    182,095.50x = 157,906,095,876
  5. Step 5: Solve for x
    x = 157,906,095,876/182,095.50
  6. Step 6: Final answer
    x = 867,160.89

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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.