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Finding the Third Proportional to 199,295 and 296,103

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Solution

The third proportional to 199,295 and 296,103 is: 439,935.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,295 : 296,103 = 296,103 : x
  2. Step 2: Convert to fraction form
    199,295/296,103 = 296,103/x
  3. Step 3: Cross multiply
    199,295x = 296,103 × 296,103
  4. Step 4: Simplify right side
    199,295x = 87,676,986,609
  5. Step 5: Solve for x
    x = 87,676,986,609/199,295
  6. Step 6: Final answer
    x = 439,935.71

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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.