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Finding the Third Proportional to 84,498 and 171,330

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Solution

The third proportional to 84,498 and 171,330 is: 347,392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,498 : 171,330 = 171,330 : x
  2. Step 2: Convert to fraction form
    84,498/171,330 = 171,330/x
  3. Step 3: Cross multiply
    84,498x = 171,330 × 171,330
  4. Step 4: Simplify right side
    84,498x = 29,353,968,900
  5. Step 5: Solve for x
    x = 29,353,968,900/84,498
  6. Step 6: Final answer
    x = 347,392.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.