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Finding the Third Proportional to 179,068 and 382,718

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Solution

The third proportional to 179,068 and 382,718 is: 817,974.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,068 : 382,718 = 382,718 : x
  2. Step 2: Convert to fraction form
    179,068/382,718 = 382,718/x
  3. Step 3: Cross multiply
    179,068x = 382,718 × 382,718
  4. Step 4: Simplify right side
    179,068x = 146,473,067,524
  5. Step 5: Solve for x
    x = 146,473,067,524/179,068
  6. Step 6: Final answer
    x = 817,974.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.