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Finding the Third Proportional to 80,353 and 168,050

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Solution

The third proportional to 80,353 and 168,050 is: 351,459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,353 : 168,050 = 168,050 : x
  2. Step 2: Convert to fraction form
    80,353/168,050 = 168,050/x
  3. Step 3: Cross multiply
    80,353x = 168,050 × 168,050
  4. Step 4: Simplify right side
    80,353x = 28,240,802,500
  5. Step 5: Solve for x
    x = 28,240,802,500/80,353
  6. Step 6: Final answer
    x = 351,459.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.