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Finding the Third Proportional to 199,300 and 296,112

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Solution

The third proportional to 199,300 and 296,112 is: 439,951.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,300 : 296,112 = 296,112 : x
  2. Step 2: Convert to fraction form
    199,300/296,112 = 296,112/x
  3. Step 3: Cross multiply
    199,300x = 296,112 × 296,112
  4. Step 4: Simplify right side
    199,300x = 87,682,316,544
  5. Step 5: Solve for x
    x = 87,682,316,544/199,300
  6. Step 6: Final answer
    x = 439,951.41

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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.