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Finding the Third Proportional to 181,764 and 279,006

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Solution

The third proportional to 181,764 and 279,006 is: 428,271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,764 : 279,006 = 279,006 : x
  2. Step 2: Convert to fraction form
    181,764/279,006 = 279,006/x
  3. Step 3: Cross multiply
    181,764x = 279,006 × 279,006
  4. Step 4: Simplify right side
    181,764x = 77,844,348,036
  5. Step 5: Solve for x
    x = 77,844,348,036/181,764
  6. Step 6: Final answer
    x = 428,271.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.