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Finding the Third Proportional to 118,588 and 279,932

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Solution

The third proportional to 118,588 and 279,932 is: 660,791.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,588 : 279,932 = 279,932 : x
  2. Step 2: Convert to fraction form
    118,588/279,932 = 279,932/x
  3. Step 3: Cross multiply
    118,588x = 279,932 × 279,932
  4. Step 4: Simplify right side
    118,588x = 78,361,924,624
  5. Step 5: Solve for x
    x = 78,361,924,624/118,588
  6. Step 6: Final answer
    x = 660,791.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.