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Finding the Third Proportional to 142,494 and 222,367

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Solution

The third proportional to 142,494 and 222,367 is: 347,011.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,494 : 222,367 = 222,367 : x
  2. Step 2: Convert to fraction form
    142,494/222,367 = 222,367/x
  3. Step 3: Cross multiply
    142,494x = 222,367 × 222,367
  4. Step 4: Simplify right side
    142,494x = 49,447,082,689
  5. Step 5: Solve for x
    x = 49,447,082,689/142,494
  6. Step 6: Final answer
    x = 347,011.68

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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.