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Finding the Third Proportional to 172,633 and 376,649

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Solution

The third proportional to 172,633 and 376,649 is: 821,769.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,633 : 376,649 = 376,649 : x
  2. Step 2: Convert to fraction form
    172,633/376,649 = 376,649/x
  3. Step 3: Cross multiply
    172,633x = 376,649 × 376,649
  4. Step 4: Simplify right side
    172,633x = 141,864,469,201
  5. Step 5: Solve for x
    x = 141,864,469,201/172,633
  6. Step 6: Final answer
    x = 821,769.12

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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.