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Finding the Third Proportional to 84,498 and 178,500

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Solution

The third proportional to 84,498 and 178,500 is: 377,076.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,498 : 178,500 = 178,500 : x
  2. Step 2: Convert to fraction form
    84,498/178,500 = 178,500/x
  3. Step 3: Cross multiply
    84,498x = 178,500 × 178,500
  4. Step 4: Simplify right side
    84,498x = 31,862,250,000
  5. Step 5: Solve for x
    x = 31,862,250,000/84,498
  6. Step 6: Final answer
    x = 377,076.97

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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.