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Finding the Third Proportional to 126,265.08 and 276,268.22

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Solution

The third proportional to 126,265.08 and 276,268.22 is: 604,475.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,265.08 : 276,268.22 = 276,268.22 : x
  2. Step 2: Convert to fraction form
    126,265.08/276,268.22 = 276,268.22/x
  3. Step 3: Cross multiply
    126,265.08x = 276,268.22 × 276,268.22
  4. Step 4: Simplify right side
    126,265.08x = 76,324,128,691.30
  5. Step 5: Solve for x
    x = 76,324,128,691.30/126,265.08
  6. Step 6: Final answer
    x = 604,475.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.