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Finding the Third Proportional to 124,524 and 270,216

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Solution

The third proportional to 124,524 and 270,216 is: 586,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,524 : 270,216 = 270,216 : x
  2. Step 2: Convert to fraction form
    124,524/270,216 = 270,216/x
  3. Step 3: Cross multiply
    124,524x = 270,216 × 270,216
  4. Step 4: Simplify right side
    124,524x = 73,016,686,656
  5. Step 5: Solve for x
    x = 73,016,686,656/124,524
  6. Step 6: Final answer
    x = 586,366.38

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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.