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Finding the Third Proportional to 168,757.50 and 246,471

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Solution

The third proportional to 168,757.50 and 246,471 is: 359,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,757.50 : 246,471 = 246,471 : x
  2. Step 2: Convert to fraction form
    168,757.50/246,471 = 246,471/x
  3. Step 3: Cross multiply
    168,757.50x = 246,471 × 246,471
  4. Step 4: Simplify right side
    168,757.50x = 60,747,953,841
  5. Step 5: Solve for x
    x = 60,747,953,841/168,757.50
  6. Step 6: Final answer
    x = 359,971.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.