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Finding the Third Proportional to 191,814 and 414,165

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Solution

The third proportional to 191,814 and 414,165 is: 894,265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,814 : 414,165 = 414,165 : x
  2. Step 2: Convert to fraction form
    191,814/414,165 = 414,165/x
  3. Step 3: Cross multiply
    191,814x = 414,165 × 414,165
  4. Step 4: Simplify right side
    191,814x = 171,532,647,225
  5. Step 5: Solve for x
    x = 171,532,647,225/191,814
  6. Step 6: Final answer
    x = 894,265.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.