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Finding the Third Proportional to 191,975 and 284,184

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Solution

The third proportional to 191,975 and 284,184 is: 420,682.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,975 : 284,184 = 284,184 : x
  2. Step 2: Convert to fraction form
    191,975/284,184 = 284,184/x
  3. Step 3: Cross multiply
    191,975x = 284,184 × 284,184
  4. Step 4: Simplify right side
    191,975x = 80,760,545,856
  5. Step 5: Solve for x
    x = 80,760,545,856/191,975
  6. Step 6: Final answer
    x = 420,682.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.