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Finding the Third Proportional to 181,548 and 398,932

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Solution

The third proportional to 181,548 and 398,932 is: 876,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,548 : 398,932 = 398,932 : x
  2. Step 2: Convert to fraction form
    181,548/398,932 = 398,932/x
  3. Step 3: Cross multiply
    181,548x = 398,932 × 398,932
  4. Step 4: Simplify right side
    181,548x = 159,146,740,624
  5. Step 5: Solve for x
    x = 159,146,740,624/181,548
  6. Step 6: Final answer
    x = 876,609.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.