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Finding the Third Proportional to 118,600 and 254,149

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Solution

The third proportional to 118,600 and 254,149 is: 544,618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,600 : 254,149 = 254,149 : x
  2. Step 2: Convert to fraction form
    118,600/254,149 = 254,149/x
  3. Step 3: Cross multiply
    118,600x = 254,149 × 254,149
  4. Step 4: Simplify right side
    118,600x = 64,591,714,201
  5. Step 5: Solve for x
    x = 64,591,714,201/118,600
  6. Step 6: Final answer
    x = 544,618.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.