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Finding the Third Proportional to 179,184 and 391,200

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Solution

The third proportional to 179,184 and 391,200 is: 854,079.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,184 : 391,200 = 391,200 : x
  2. Step 2: Convert to fraction form
    179,184/391,200 = 391,200/x
  3. Step 3: Cross multiply
    179,184x = 391,200 × 391,200
  4. Step 4: Simplify right side
    179,184x = 153,037,440,000
  5. Step 5: Solve for x
    x = 153,037,440,000/179,184
  6. Step 6: Final answer
    x = 854,079.83

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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.