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Finding the Third Proportional to 185,476 and 279,078

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Solution

The third proportional to 185,476 and 279,078 is: 419,917.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,476 : 279,078 = 279,078 : x
  2. Step 2: Convert to fraction form
    185,476/279,078 = 279,078/x
  3. Step 3: Cross multiply
    185,476x = 279,078 × 279,078
  4. Step 4: Simplify right side
    185,476x = 77,884,530,084
  5. Step 5: Solve for x
    x = 77,884,530,084/185,476
  6. Step 6: Final answer
    x = 419,917.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.