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Finding the Third Proportional to 181,553 and 279,986

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Solution

The third proportional to 181,553 and 279,986 is: 431,786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,553 : 279,986 = 279,986 : x
  2. Step 2: Convert to fraction form
    181,553/279,986 = 279,986/x
  3. Step 3: Cross multiply
    181,553x = 279,986 × 279,986
  4. Step 4: Simplify right side
    181,553x = 78,392,160,196
  5. Step 5: Solve for x
    x = 78,392,160,196/181,553
  6. Step 6: Final answer
    x = 431,786.64

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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.