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Finding the Third Proportional to 117,774 and 252,180

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Solution

The third proportional to 117,774 and 252,180 is: 539,972.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,774 : 252,180 = 252,180 : x
  2. Step 2: Convert to fraction form
    117,774/252,180 = 252,180/x
  3. Step 3: Cross multiply
    117,774x = 252,180 × 252,180
  4. Step 4: Simplify right side
    117,774x = 63,594,752,400
  5. Step 5: Solve for x
    x = 63,594,752,400/117,774
  6. Step 6: Final answer
    x = 539,972.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.