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Finding the Third Proportional to 142,497.75 and 222,372

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Solution

The third proportional to 142,497.75 and 222,372 is: 347,018.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,497.75 : 222,372 = 222,372 : x
  2. Step 2: Convert to fraction form
    142,497.75/222,372 = 222,372/x
  3. Step 3: Cross multiply
    142,497.75x = 222,372 × 222,372
  4. Step 4: Simplify right side
    142,497.75x = 49,449,306,384
  5. Step 5: Solve for x
    x = 49,449,306,384/142,497.75
  6. Step 6: Final answer
    x = 347,018.16

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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.