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Finding the Third Proportional to 137,996 and 202,449

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Solution

The third proportional to 137,996 and 202,449 is: 297,005.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,996 : 202,449 = 202,449 : x
  2. Step 2: Convert to fraction form
    137,996/202,449 = 202,449/x
  3. Step 3: Cross multiply
    137,996x = 202,449 × 202,449
  4. Step 4: Simplify right side
    137,996x = 40,985,597,601
  5. Step 5: Solve for x
    x = 40,985,597,601/137,996
  6. Step 6: Final answer
    x = 297,005.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.