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Finding the Third Proportional to 111,719.25 and 255,241.13

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Solution

The third proportional to 111,719.25 and 255,241.13 is: 583,140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,719.25 : 255,241.13 = 255,241.13 : x
  2. Step 2: Convert to fraction form
    111,719.25/255,241.13 = 255,241.13/x
  3. Step 3: Cross multiply
    111,719.25x = 255,241.13 × 255,241.13
  4. Step 4: Simplify right side
    111,719.25x = 65,148,031,891.27
  5. Step 5: Solve for x
    x = 65,148,031,891.27/111,719.25
  6. Step 6: Final answer
    x = 583,140.61

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.