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Finding the Third Proportional to 117,774 and 255,474

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Solution

The third proportional to 117,774 and 255,474 is: 554,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,774 : 255,474 = 255,474 : x
  2. Step 2: Convert to fraction form
    117,774/255,474 = 255,474/x
  3. Step 3: Cross multiply
    117,774x = 255,474 × 255,474
  4. Step 4: Simplify right side
    117,774x = 65,266,964,676
  5. Step 5: Solve for x
    x = 65,266,964,676/117,774
  6. Step 6: Final answer
    x = 554,171.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.