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Finding the Third Proportional to 181,784 and 279,048

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Solution

The third proportional to 181,784 and 279,048 is: 428,353.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,784 : 279,048 = 279,048 : x
  2. Step 2: Convert to fraction form
    181,784/279,048 = 279,048/x
  3. Step 3: Cross multiply
    181,784x = 279,048 × 279,048
  4. Step 4: Simplify right side
    181,784x = 77,867,786,304
  5. Step 5: Solve for x
    x = 77,867,786,304/181,784
  6. Step 6: Final answer
    x = 428,353.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.