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Finding the Third Proportional to 179,617 and 391,218

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Solution

The third proportional to 179,617 and 391,218 is: 852,099.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,617 : 391,218 = 391,218 : x
  2. Step 2: Convert to fraction form
    179,617/391,218 = 391,218/x
  3. Step 3: Cross multiply
    179,617x = 391,218 × 391,218
  4. Step 4: Simplify right side
    179,617x = 153,051,523,524
  5. Step 5: Solve for x
    x = 153,051,523,524/179,617
  6. Step 6: Final answer
    x = 852,099.32

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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.