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Finding the Third Proportional to 142,501 and 222,376

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Solution

The third proportional to 142,501 and 222,376 is: 347,022.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,501 : 222,376 = 222,376 : x
  2. Step 2: Convert to fraction form
    142,501/222,376 = 222,376/x
  3. Step 3: Cross multiply
    142,501x = 222,376 × 222,376
  4. Step 4: Simplify right side
    142,501x = 49,451,085,376
  5. Step 5: Solve for x
    x = 49,451,085,376/142,501
  6. Step 6: Final answer
    x = 347,022.73

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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.