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Finding the Third Proportional to 178,422 and 260,934.75

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Solution

The third proportional to 178,422 and 260,934.75 is: 381,606.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,422 : 260,934.75 = 260,934.75 : x
  2. Step 2: Convert to fraction form
    178,422/260,934.75 = 260,934.75/x
  3. Step 3: Cross multiply
    178,422x = 260,934.75 × 260,934.75
  4. Step 4: Simplify right side
    178,422x = 68,086,943,757.56
  5. Step 5: Solve for x
    x = 68,086,943,757.56/178,422
  6. Step 6: Final answer
    x = 381,606.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.