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Finding the Third Proportional to 181,304 and 398,852

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Solution

The third proportional to 181,304 and 398,852 is: 877,437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,304 : 398,852 = 398,852 : x
  2. Step 2: Convert to fraction form
    181,304/398,852 = 398,852/x
  3. Step 3: Cross multiply
    181,304x = 398,852 × 398,852
  4. Step 4: Simplify right side
    181,304x = 159,082,917,904
  5. Step 5: Solve for x
    x = 159,082,917,904/181,304
  6. Step 6: Final answer
    x = 877,437.44

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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.