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Finding the Third Proportional to 178,074 and 383,796

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Solution

The third proportional to 178,074 and 383,796 is: 827,180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,074 : 383,796 = 383,796 : x
  2. Step 2: Convert to fraction form
    178,074/383,796 = 383,796/x
  3. Step 3: Cross multiply
    178,074x = 383,796 × 383,796
  4. Step 4: Simplify right side
    178,074x = 147,299,369,616
  5. Step 5: Solve for x
    x = 147,299,369,616/178,074
  6. Step 6: Final answer
    x = 827,180.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.