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Finding the Third Proportional to 118,098 and 255,879

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Solution

The third proportional to 118,098 and 255,879 is: 554,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,098 : 255,879 = 255,879 : x
  2. Step 2: Convert to fraction form
    118,098/255,879 = 255,879/x
  3. Step 3: Cross multiply
    118,098x = 255,879 × 255,879
  4. Step 4: Simplify right side
    118,098x = 65,474,062,641
  5. Step 5: Solve for x
    x = 65,474,062,641/118,098
  6. Step 6: Final answer
    x = 554,404.50

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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.