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Finding the Third Proportional to 118,624 and 280,008

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Solution

The third proportional to 118,624 and 280,008 is: 660,949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,624 : 280,008 = 280,008 : x
  2. Step 2: Convert to fraction form
    118,624/280,008 = 280,008/x
  3. Step 3: Cross multiply
    118,624x = 280,008 × 280,008
  4. Step 4: Simplify right side
    118,624x = 78,404,480,064
  5. Step 5: Solve for x
    x = 78,404,480,064/118,624
  6. Step 6: Final answer
    x = 660,949.56

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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.