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Finding the Third Proportional to 123,636 and 269,940

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Solution

The third proportional to 123,636 and 269,940 is: 589,372.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,636 : 269,940 = 269,940 : x
  2. Step 2: Convert to fraction form
    123,636/269,940 = 269,940/x
  3. Step 3: Cross multiply
    123,636x = 269,940 × 269,940
  4. Step 4: Simplify right side
    123,636x = 72,867,603,600
  5. Step 5: Solve for x
    x = 72,867,603,600/123,636
  6. Step 6: Final answer
    x = 589,372.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.