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Finding the Third Proportional to 142,279 and 300,231

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Solution

The third proportional to 142,279 and 300,231 is: 633,534.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,279 : 300,231 = 300,231 : x
  2. Step 2: Convert to fraction form
    142,279/300,231 = 300,231/x
  3. Step 3: Cross multiply
    142,279x = 300,231 × 300,231
  4. Step 4: Simplify right side
    142,279x = 90,138,653,361
  5. Step 5: Solve for x
    x = 90,138,653,361/142,279
  6. Step 6: Final answer
    x = 633,534.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.