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Finding the Third Proportional to 174,436 and 269,882

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Solution

The third proportional to 174,436 and 269,882 is: 417,553.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,436 : 269,882 = 269,882 : x
  2. Step 2: Convert to fraction form
    174,436/269,882 = 269,882/x
  3. Step 3: Cross multiply
    174,436x = 269,882 × 269,882
  4. Step 4: Simplify right side
    174,436x = 72,836,293,924
  5. Step 5: Solve for x
    x = 72,836,293,924/174,436
  6. Step 6: Final answer
    x = 417,553.11

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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.