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Finding the Third Proportional to 123,540.61 and 270,720.14

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Solution

The third proportional to 123,540.61 and 270,720.14 is: 593,241.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,540.61 : 270,720.14 = 270,720.14 : x
  2. Step 2: Convert to fraction form
    123,540.61/270,720.14 = 270,720.14/x
  3. Step 3: Cross multiply
    123,540.61x = 270,720.14 × 270,720.14
  4. Step 4: Simplify right side
    123,540.61x = 73,289,394,540.02
  5. Step 5: Solve for x
    x = 73,289,394,540.02/123,540.61
  6. Step 6: Final answer
    x = 593,241.32

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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.