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Finding the Third Proportional to 138,846 and 303,372

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Solution

The third proportional to 138,846 and 303,372 is: 662,853.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,846 : 303,372 = 303,372 : x
  2. Step 2: Convert to fraction form
    138,846/303,372 = 303,372/x
  3. Step 3: Cross multiply
    138,846x = 303,372 × 303,372
  4. Step 4: Simplify right side
    138,846x = 92,034,570,384
  5. Step 5: Solve for x
    x = 92,034,570,384/138,846
  6. Step 6: Final answer
    x = 662,853.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.