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Finding the Third Proportional to 118,002 and 255,680

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Solution

The third proportional to 118,002 and 255,680 is: 553,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,002 : 255,680 = 255,680 : x
  2. Step 2: Convert to fraction form
    118,002/255,680 = 255,680/x
  3. Step 3: Cross multiply
    118,002x = 255,680 × 255,680
  4. Step 4: Simplify right side
    118,002x = 65,372,262,400
  5. Step 5: Solve for x
    x = 65,372,262,400/118,002
  6. Step 6: Final answer
    x = 553,992.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.