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Finding the Third Proportional to 147,451 and 222,398

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Solution

The third proportional to 147,451 and 222,398 is: 335,439.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,451 : 222,398 = 222,398 : x
  2. Step 2: Convert to fraction form
    147,451/222,398 = 222,398/x
  3. Step 3: Cross multiply
    147,451x = 222,398 × 222,398
  4. Step 4: Simplify right side
    147,451x = 49,460,870,404
  5. Step 5: Solve for x
    x = 49,460,870,404/147,451
  6. Step 6: Final answer
    x = 335,439.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.