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Finding the Third Proportional to 188,919.84 and 410,697.84

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Solution

The third proportional to 188,919.84 and 410,697.84 is: 892,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,919.84 : 410,697.84 = 410,697.84 : x
  2. Step 2: Convert to fraction form
    188,919.84/410,697.84 = 410,697.84/x
  3. Step 3: Cross multiply
    188,919.84x = 410,697.84 × 410,697.84
  4. Step 4: Simplify right side
    188,919.84x = 168,672,718,860.90
  5. Step 5: Solve for x
    x = 168,672,718,860.90/188,919.84
  6. Step 6: Final answer
    x = 892,826.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.