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Finding the Third Proportional to 124,666 and 270,228

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Solution

The third proportional to 124,666 and 270,228 is: 585,750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,666 : 270,228 = 270,228 : x
  2. Step 2: Convert to fraction form
    124,666/270,228 = 270,228/x
  3. Step 3: Cross multiply
    124,666x = 270,228 × 270,228
  4. Step 4: Simplify right side
    124,666x = 73,023,171,984
  5. Step 5: Solve for x
    x = 73,023,171,984/124,666
  6. Step 6: Final answer
    x = 585,750.50

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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.