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Finding the Third Proportional to 172,482 and 269,214

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Solution

The third proportional to 172,482 and 269,214 is: 420,195.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,482 : 269,214 = 269,214 : x
  2. Step 2: Convert to fraction form
    172,482/269,214 = 269,214/x
  3. Step 3: Cross multiply
    172,482x = 269,214 × 269,214
  4. Step 4: Simplify right side
    172,482x = 72,476,177,796
  5. Step 5: Solve for x
    x = 72,476,177,796/172,482
  6. Step 6: Final answer
    x = 420,195.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.