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Finding the Third Proportional to 199,266 and 300,357

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Solution

The third proportional to 199,266 and 300,357 is: 452,733.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,266 : 300,357 = 300,357 : x
  2. Step 2: Convert to fraction form
    199,266/300,357 = 300,357/x
  3. Step 3: Cross multiply
    199,266x = 300,357 × 300,357
  4. Step 4: Simplify right side
    199,266x = 90,214,327,449
  5. Step 5: Solve for x
    x = 90,214,327,449/199,266
  6. Step 6: Final answer
    x = 452,733.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.