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Finding the Third Proportional to 124,660 and 270,218

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Solution

The third proportional to 124,660 and 270,218 is: 585,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,660 : 270,218 = 270,218 : x
  2. Step 2: Convert to fraction form
    124,660/270,218 = 270,218/x
  3. Step 3: Cross multiply
    124,660x = 270,218 × 270,218
  4. Step 4: Simplify right side
    124,660x = 73,017,767,524
  5. Step 5: Solve for x
    x = 73,017,767,524/124,660
  6. Step 6: Final answer
    x = 585,735.34

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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.