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Finding the Third Proportional to 168,656 and 254,100

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Solution

The third proportional to 168,656 and 254,100 is: 382,831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,656 : 254,100 = 254,100 : x
  2. Step 2: Convert to fraction form
    168,656/254,100 = 254,100/x
  3. Step 3: Cross multiply
    168,656x = 254,100 × 254,100
  4. Step 4: Simplify right side
    168,656x = 64,566,810,000
  5. Step 5: Solve for x
    x = 64,566,810,000/168,656
  6. Step 6: Final answer
    x = 382,831.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.