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Finding the Third Proportional to 181,552 and 279,984

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Solution

The third proportional to 181,552 and 279,984 is: 431,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,552 : 279,984 = 279,984 : x
  2. Step 2: Convert to fraction form
    181,552/279,984 = 279,984/x
  3. Step 3: Cross multiply
    181,552x = 279,984 × 279,984
  4. Step 4: Simplify right side
    181,552x = 78,391,040,256
  5. Step 5: Solve for x
    x = 78,391,040,256/181,552
  6. Step 6: Final answer
    x = 431,782.85

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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.