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Finding the Third Proportional to 124,832 and 270,400

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Solution

The third proportional to 124,832 and 270,400 is: 585,716.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,832 : 270,400 = 270,400 : x
  2. Step 2: Convert to fraction form
    124,832/270,400 = 270,400/x
  3. Step 3: Cross multiply
    124,832x = 270,400 × 270,400
  4. Step 4: Simplify right side
    124,832x = 73,116,160,000
  5. Step 5: Solve for x
    x = 73,116,160,000/124,832
  6. Step 6: Final answer
    x = 585,716.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.