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Finding the Third Proportional to 123,422 and 269,145

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Solution

The third proportional to 123,422 and 269,145 is: 586,921.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,422 : 269,145 = 269,145 : x
  2. Step 2: Convert to fraction form
    123,422/269,145 = 269,145/x
  3. Step 3: Cross multiply
    123,422x = 269,145 × 269,145
  4. Step 4: Simplify right side
    123,422x = 72,439,031,025
  5. Step 5: Solve for x
    x = 72,439,031,025/123,422
  6. Step 6: Final answer
    x = 586,921.55

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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.