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Finding the Third Proportional to 118,774 and 261,356

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Solution

The third proportional to 118,774 and 261,356 is: 575,100.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,774 : 261,356 = 261,356 : x
  2. Step 2: Convert to fraction form
    118,774/261,356 = 261,356/x
  3. Step 3: Cross multiply
    118,774x = 261,356 × 261,356
  4. Step 4: Simplify right side
    118,774x = 68,306,958,736
  5. Step 5: Solve for x
    x = 68,306,958,736/118,774
  6. Step 6: Final answer
    x = 575,100.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.