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Finding the Third Proportional to 124,648 and 270,328

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Solution

The third proportional to 124,648 and 270,328 is: 586,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,648 : 270,328 = 270,328 : x
  2. Step 2: Convert to fraction form
    124,648/270,328 = 270,328/x
  3. Step 3: Cross multiply
    124,648x = 270,328 × 270,328
  4. Step 4: Simplify right side
    124,648x = 73,077,227,584
  5. Step 5: Solve for x
    x = 73,077,227,584/124,648
  6. Step 6: Final answer
    x = 586,268.75

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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.