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Finding the Third Proportional to 124,533 and 270,234

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Solution

The third proportional to 124,533 and 270,234 is: 586,402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,533 : 270,234 = 270,234 : x
  2. Step 2: Convert to fraction form
    124,533/270,234 = 270,234/x
  3. Step 3: Cross multiply
    124,533x = 270,234 × 270,234
  4. Step 4: Simplify right side
    124,533x = 73,026,414,756
  5. Step 5: Solve for x
    x = 73,026,414,756/124,533
  6. Step 6: Final answer
    x = 586,402.12

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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.