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Finding the Third Proportional to 85,306 and 179,500

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Solution

The third proportional to 85,306 and 179,500 is: 377,702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,306 : 179,500 = 179,500 : x
  2. Step 2: Convert to fraction form
    85,306/179,500 = 179,500/x
  3. Step 3: Cross multiply
    85,306x = 179,500 × 179,500
  4. Step 4: Simplify right side
    85,306x = 32,220,250,000
  5. Step 5: Solve for x
    x = 32,220,250,000/85,306
  6. Step 6: Final answer
    x = 377,702.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.