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Finding the Third Proportional to 180,119.25 and 282,540.75

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Solution

The third proportional to 180,119.25 and 282,540.75 is: 443,202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,119.25 : 282,540.75 = 282,540.75 : x
  2. Step 2: Convert to fraction form
    180,119.25/282,540.75 = 282,540.75/x
  3. Step 3: Cross multiply
    180,119.25x = 282,540.75 × 282,540.75
  4. Step 4: Simplify right side
    180,119.25x = 79,829,275,410.56
  5. Step 5: Solve for x
    x = 79,829,275,410.56/180,119.25
  6. Step 6: Final answer
    x = 443,202.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.