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Finding the Third Proportional to 191,612 and 395,523

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Solution

The third proportional to 191,612 and 395,523 is: 816,433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,612 : 395,523 = 395,523 : x
  2. Step 2: Convert to fraction form
    191,612/395,523 = 395,523/x
  3. Step 3: Cross multiply
    191,612x = 395,523 × 395,523
  4. Step 4: Simplify right side
    191,612x = 156,438,443,529
  5. Step 5: Solve for x
    x = 156,438,443,529/191,612
  6. Step 6: Final answer
    x = 816,433.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.