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Finding the Third Proportional to 118,377 and 279,404

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Solution

The third proportional to 118,377 and 279,404 is: 659,474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,377 : 279,404 = 279,404 : x
  2. Step 2: Convert to fraction form
    118,377/279,404 = 279,404/x
  3. Step 3: Cross multiply
    118,377x = 279,404 × 279,404
  4. Step 4: Simplify right side
    118,377x = 78,066,595,216
  5. Step 5: Solve for x
    x = 78,066,595,216/118,377
  6. Step 6: Final answer
    x = 659,474.35

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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.