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Finding the Third Proportional to 168,832.50 and 398,538

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Solution

The third proportional to 168,832.50 and 398,538 is: 940,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,832.50 : 398,538 = 398,538 : x
  2. Step 2: Convert to fraction form
    168,832.50/398,538 = 398,538/x
  3. Step 3: Cross multiply
    168,832.50x = 398,538 × 398,538
  4. Step 4: Simplify right side
    168,832.50x = 158,832,537,444
  5. Step 5: Solve for x
    x = 158,832,537,444/168,832.50
  6. Step 6: Final answer
    x = 940,769.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.