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Finding the Third Proportional to 199,868 and 296,774

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Solution

The third proportional to 199,868 and 296,774 is: 440,664.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,868 : 296,774 = 296,774 : x
  2. Step 2: Convert to fraction form
    199,868/296,774 = 296,774/x
  3. Step 3: Cross multiply
    199,868x = 296,774 × 296,774
  4. Step 4: Simplify right side
    199,868x = 88,074,807,076
  5. Step 5: Solve for x
    x = 88,074,807,076/199,868
  6. Step 6: Final answer
    x = 440,664.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.