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Finding the Third Proportional to 254,118 and 541,104

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Solution

The third proportional to 254,118 and 541,104 is: 1,152,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,118 : 541,104 = 541,104 : x
  2. Step 2: Convert to fraction form
    254,118/541,104 = 541,104/x
  3. Step 3: Cross multiply
    254,118x = 541,104 × 541,104
  4. Step 4: Simplify right side
    254,118x = 292,793,538,816
  5. Step 5: Solve for x
    x = 292,793,538,816/254,118
  6. Step 6: Final answer
    x = 1,152,195.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.