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Finding the Third Proportional to 142,722 and 222,254

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Solution

The third proportional to 142,722 and 222,254 is: 346,105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,722 : 222,254 = 222,254 : x
  2. Step 2: Convert to fraction form
    142,722/222,254 = 222,254/x
  3. Step 3: Cross multiply
    142,722x = 222,254 × 222,254
  4. Step 4: Simplify right side
    142,722x = 49,396,840,516
  5. Step 5: Solve for x
    x = 49,396,840,516/142,722
  6. Step 6: Final answer
    x = 346,105.30

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.