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Finding the Third Proportional to 117,482 and 176,259

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Solution

The third proportional to 117,482 and 176,259 is: 264,442.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,482 : 176,259 = 176,259 : x
  2. Step 2: Convert to fraction form
    117,482/176,259 = 176,259/x
  3. Step 3: Cross multiply
    117,482x = 176,259 × 176,259
  4. Step 4: Simplify right side
    117,482x = 31,067,235,081
  5. Step 5: Solve for x
    x = 31,067,235,081/117,482
  6. Step 6: Final answer
    x = 264,442.51

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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.