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Finding the Third Proportional to 178,494 and 371,782

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Solution

The third proportional to 178,494 and 371,782 is: 774,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,494 : 371,782 = 371,782 : x
  2. Step 2: Convert to fraction form
    178,494/371,782 = 371,782/x
  3. Step 3: Cross multiply
    178,494x = 371,782 × 371,782
  4. Step 4: Simplify right side
    178,494x = 138,221,855,524
  5. Step 5: Solve for x
    x = 138,221,855,524/178,494
  6. Step 6: Final answer
    x = 774,378.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.