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Finding the Third Proportional to 179,334 and 268,656.75

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Solution

The third proportional to 179,334 and 268,656.75 is: 402,469.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,334 : 268,656.75 = 268,656.75 : x
  2. Step 2: Convert to fraction form
    179,334/268,656.75 = 268,656.75/x
  3. Step 3: Cross multiply
    179,334x = 268,656.75 × 268,656.75
  4. Step 4: Simplify right side
    179,334x = 72,176,449,320.56
  5. Step 5: Solve for x
    x = 72,176,449,320.56/179,334
  6. Step 6: Final answer
    x = 402,469.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.