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Finding the Third Proportional to 201,899 and 303,334

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Solution

The third proportional to 201,899 and 303,334 is: 455,730.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,899 : 303,334 = 303,334 : x
  2. Step 2: Convert to fraction form
    201,899/303,334 = 303,334/x
  3. Step 3: Cross multiply
    201,899x = 303,334 × 303,334
  4. Step 4: Simplify right side
    201,899x = 92,011,515,556
  5. Step 5: Solve for x
    x = 92,011,515,556/201,899
  6. Step 6: Final answer
    x = 455,730.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.