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Finding the Third Proportional to 151,806 and 222,785

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Solution

The third proportional to 151,806 and 222,785 is: 326,951.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,806 : 222,785 = 222,785 : x
  2. Step 2: Convert to fraction form
    151,806/222,785 = 222,785/x
  3. Step 3: Cross multiply
    151,806x = 222,785 × 222,785
  4. Step 4: Simplify right side
    151,806x = 49,633,156,225
  5. Step 5: Solve for x
    x = 49,633,156,225/151,806
  6. Step 6: Final answer
    x = 326,951.22

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.