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Finding the Third Proportional to 118,247 and 256,150

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Solution

The third proportional to 118,247 and 256,150 is: 554,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,247 : 256,150 = 256,150 : x
  2. Step 2: Convert to fraction form
    118,247/256,150 = 256,150/x
  3. Step 3: Cross multiply
    118,247x = 256,150 × 256,150
  4. Step 4: Simplify right side
    118,247x = 65,612,822,500
  5. Step 5: Solve for x
    x = 65,612,822,500/118,247
  6. Step 6: Final answer
    x = 554,879.38

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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.