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Finding the Third Proportional to 124,207 and 269,419

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Solution

The third proportional to 124,207 and 269,419 is: 584,400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,207 : 269,419 = 269,419 : x
  2. Step 2: Convert to fraction form
    124,207/269,419 = 269,419/x
  3. Step 3: Cross multiply
    124,207x = 269,419 × 269,419
  4. Step 4: Simplify right side
    124,207x = 72,586,597,561
  5. Step 5: Solve for x
    x = 72,586,597,561/124,207
  6. Step 6: Final answer
    x = 584,400.22

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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.