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Finding the Third Proportional to 142,713 and 222,241

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Solution

The third proportional to 142,713 and 222,241 is: 346,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,713 : 222,241 = 222,241 : x
  2. Step 2: Convert to fraction form
    142,713/222,241 = 222,241/x
  3. Step 3: Cross multiply
    142,713x = 222,241 × 222,241
  4. Step 4: Simplify right side
    142,713x = 49,391,062,081
  5. Step 5: Solve for x
    x = 49,391,062,081/142,713
  6. Step 6: Final answer
    x = 346,086.64

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Why These Related Problems?

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