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Finding the Third Proportional to 185,466 and 279,069

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Solution

The third proportional to 185,466 and 279,069 is: 419,912.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,466 : 279,069 = 279,069 : x
  2. Step 2: Convert to fraction form
    185,466/279,069 = 279,069/x
  3. Step 3: Cross multiply
    185,466x = 279,069 × 279,069
  4. Step 4: Simplify right side
    185,466x = 77,879,506,761
  5. Step 5: Solve for x
    x = 77,879,506,761/185,466
  6. Step 6: Final answer
    x = 419,912.58

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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.