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Finding the Third Proportional to 119,867.34 and 254,517.19

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Solution

The third proportional to 119,867.34 and 254,517.19 is: 540,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,867.34 : 254,517.19 = 254,517.19 : x
  2. Step 2: Convert to fraction form
    119,867.34/254,517.19 = 254,517.19/x
  3. Step 3: Cross multiply
    119,867.34x = 254,517.19 × 254,517.19
  4. Step 4: Simplify right side
    119,867.34x = 64,778,998,732.91
  5. Step 5: Solve for x
    x = 64,778,998,732.91/119,867.34
  6. Step 6: Final answer
    x = 540,422.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.