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Finding the Third Proportional to 201,908 and 303,350

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Solution

The third proportional to 201,908 and 303,350 is: 455,758.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,908 : 303,350 = 303,350 : x
  2. Step 2: Convert to fraction form
    201,908/303,350 = 303,350/x
  3. Step 3: Cross multiply
    201,908x = 303,350 × 303,350
  4. Step 4: Simplify right side
    201,908x = 92,021,222,500
  5. Step 5: Solve for x
    x = 92,021,222,500/201,908
  6. Step 6: Final answer
    x = 455,758.18

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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.