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Finding the Third Proportional to 199,380 and 296,188

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Solution

The third proportional to 199,380 and 296,188 is: 440,000.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,380 : 296,188 = 296,188 : x
  2. Step 2: Convert to fraction form
    199,380/296,188 = 296,188/x
  3. Step 3: Cross multiply
    199,380x = 296,188 × 296,188
  4. Step 4: Simplify right side
    199,380x = 87,727,331,344
  5. Step 5: Solve for x
    x = 87,727,331,344/199,380
  6. Step 6: Final answer
    x = 440,000.66

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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.