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Finding the Third Proportional to 142,616 and 221,812

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Solution

The third proportional to 142,616 and 221,812 is: 344,986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,616 : 221,812 = 221,812 : x
  2. Step 2: Convert to fraction form
    142,616/221,812 = 221,812/x
  3. Step 3: Cross multiply
    142,616x = 221,812 × 221,812
  4. Step 4: Simplify right side
    142,616x = 49,200,563,344
  5. Step 5: Solve for x
    x = 49,200,563,344/142,616
  6. Step 6: Final answer
    x = 344,986.28

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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.