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Finding the Third Proportional to 181,578 and 398,988

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Solution

The third proportional to 181,578 and 398,988 is: 876,710.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,578 : 398,988 = 398,988 : x
  2. Step 2: Convert to fraction form
    181,578/398,988 = 398,988/x
  3. Step 3: Cross multiply
    181,578x = 398,988 × 398,988
  4. Step 4: Simplify right side
    181,578x = 159,191,424,144
  5. Step 5: Solve for x
    x = 159,191,424,144/181,578
  6. Step 6: Final answer
    x = 876,710.97

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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.