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Finding the Third Proportional to 199,103 and 308,285

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Solution

The third proportional to 199,103 and 308,285 is: 477,339.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,103 : 308,285 = 308,285 : x
  2. Step 2: Convert to fraction form
    199,103/308,285 = 308,285/x
  3. Step 3: Cross multiply
    199,103x = 308,285 × 308,285
  4. Step 4: Simplify right side
    199,103x = 95,039,641,225
  5. Step 5: Solve for x
    x = 95,039,641,225/199,103
  6. Step 6: Final answer
    x = 477,339.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.