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Finding the Third Proportional to 178,656 and 378,048

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Solution

The third proportional to 178,656 and 378,048 is: 799,974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,656 : 378,048 = 378,048 : x
  2. Step 2: Convert to fraction form
    178,656/378,048 = 378,048/x
  3. Step 3: Cross multiply
    178,656x = 378,048 × 378,048
  4. Step 4: Simplify right side
    178,656x = 142,920,290,304
  5. Step 5: Solve for x
    x = 142,920,290,304/178,656
  6. Step 6: Final answer
    x = 799,974.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.