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Finding the Third Proportional to 181,782 and 279,045

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Solution

The third proportional to 181,782 and 279,045 is: 428,348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,782 : 279,045 = 279,045 : x
  2. Step 2: Convert to fraction form
    181,782/279,045 = 279,045/x
  3. Step 3: Cross multiply
    181,782x = 279,045 × 279,045
  4. Step 4: Simplify right side
    181,782x = 77,866,112,025
  5. Step 5: Solve for x
    x = 77,866,112,025/181,782
  6. Step 6: Final answer
    x = 428,348.86

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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.