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Finding the Third Proportional to 151,763 and 222,724

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Solution

The third proportional to 151,763 and 222,724 is: 326,864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,763 : 222,724 = 222,724 : x
  2. Step 2: Convert to fraction form
    151,763/222,724 = 222,724/x
  3. Step 3: Cross multiply
    151,763x = 222,724 × 222,724
  4. Step 4: Simplify right side
    151,763x = 49,605,980,176
  5. Step 5: Solve for x
    x = 49,605,980,176/151,763
  6. Step 6: Final answer
    x = 326,864.78

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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.