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Finding the Third Proportional to 172,649 and 376,680

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Solution

The third proportional to 172,649 and 376,680 is: 821,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,649 : 376,680 = 376,680 : x
  2. Step 2: Convert to fraction form
    172,649/376,680 = 376,680/x
  3. Step 3: Cross multiply
    172,649x = 376,680 × 376,680
  4. Step 4: Simplify right side
    172,649x = 141,887,822,400
  5. Step 5: Solve for x
    x = 141,887,822,400/172,649
  6. Step 6: Final answer
    x = 821,828.23

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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.