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Finding the Third Proportional to 173,966 and 269,367

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Solution

The third proportional to 173,966 and 269,367 is: 417,084.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,966 : 269,367 = 269,367 : x
  2. Step 2: Convert to fraction form
    173,966/269,367 = 269,367/x
  3. Step 3: Cross multiply
    173,966x = 269,367 × 269,367
  4. Step 4: Simplify right side
    173,966x = 72,558,580,689
  5. Step 5: Solve for x
    x = 72,558,580,689/173,966
  6. Step 6: Final answer
    x = 417,084.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.