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Finding the Third Proportional to 168,670 and 263,373

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Solution

The third proportional to 168,670 and 263,373 is: 411,248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,670 : 263,373 = 263,373 : x
  2. Step 2: Convert to fraction form
    168,670/263,373 = 263,373/x
  3. Step 3: Cross multiply
    168,670x = 263,373 × 263,373
  4. Step 4: Simplify right side
    168,670x = 69,365,337,129
  5. Step 5: Solve for x
    x = 69,365,337,129/168,670
  6. Step 6: Final answer
    x = 411,248.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.