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Finding the Third Proportional to 151,776 and 222,743

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Solution

The third proportional to 151,776 and 222,743 is: 326,892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,776 : 222,743 = 222,743 : x
  2. Step 2: Convert to fraction form
    151,776/222,743 = 222,743/x
  3. Step 3: Cross multiply
    151,776x = 222,743 × 222,743
  4. Step 4: Simplify right side
    151,776x = 49,614,444,049
  5. Step 5: Solve for x
    x = 49,614,444,049/151,776
  6. Step 6: Final answer
    x = 326,892.55

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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.