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Finding the Third Proportional to 199,373 and 296,179

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Solution

The third proportional to 199,373 and 296,179 is: 439,989.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,373 : 296,179 = 296,179 : x
  2. Step 2: Convert to fraction form
    199,373/296,179 = 296,179/x
  3. Step 3: Cross multiply
    199,373x = 296,179 × 296,179
  4. Step 4: Simplify right side
    199,373x = 87,722,000,041
  5. Step 5: Solve for x
    x = 87,722,000,041/199,373
  6. Step 6: Final answer
    x = 439,989.37

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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.