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Finding the Third Proportional to 84,498 and 158,349

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Solution

The third proportional to 84,498 and 158,349 is: 296,745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,498 : 158,349 = 158,349 : x
  2. Step 2: Convert to fraction form
    84,498/158,349 = 158,349/x
  3. Step 3: Cross multiply
    84,498x = 158,349 × 158,349
  4. Step 4: Simplify right side
    84,498x = 25,074,405,801
  5. Step 5: Solve for x
    x = 25,074,405,801/84,498
  6. Step 6: Final answer
    x = 296,745.55

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.