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Finding the Third Proportional to 142,458 and 221,463

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Solution

The third proportional to 142,458 and 221,463 is: 344,282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,458 : 221,463 = 221,463 : x
  2. Step 2: Convert to fraction form
    142,458/221,463 = 221,463/x
  3. Step 3: Cross multiply
    142,458x = 221,463 × 221,463
  4. Step 4: Simplify right side
    142,458x = 49,045,860,369
  5. Step 5: Solve for x
    x = 49,045,860,369/142,458
  6. Step 6: Final answer
    x = 344,282.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.