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Finding the Third Proportional to 199,376 and 296,182

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Solution

The third proportional to 199,376 and 296,182 is: 439,991.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,376 : 296,182 = 296,182 : x
  2. Step 2: Convert to fraction form
    199,376/296,182 = 296,182/x
  3. Step 3: Cross multiply
    199,376x = 296,182 × 296,182
  4. Step 4: Simplify right side
    199,376x = 87,723,777,124
  5. Step 5: Solve for x
    x = 87,723,777,124/199,376
  6. Step 6: Final answer
    x = 439,991.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.