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Finding the Third Proportional to 118,256 and 254,008

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Solution

The third proportional to 118,256 and 254,008 is: 545,596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,256 : 254,008 = 254,008 : x
  2. Step 2: Convert to fraction form
    118,256/254,008 = 254,008/x
  3. Step 3: Cross multiply
    118,256x = 254,008 × 254,008
  4. Step 4: Simplify right side
    118,256x = 64,520,064,064
  5. Step 5: Solve for x
    x = 64,520,064,064/118,256
  6. Step 6: Final answer
    x = 545,596.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.