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Finding the Third Proportional to 201,914 and 303,359

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Solution

The third proportional to 201,914 and 303,359 is: 455,771.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,914 : 303,359 = 303,359 : x
  2. Step 2: Convert to fraction form
    201,914/303,359 = 303,359/x
  3. Step 3: Cross multiply
    201,914x = 303,359 × 303,359
  4. Step 4: Simplify right side
    201,914x = 92,026,682,881
  5. Step 5: Solve for x
    x = 92,026,682,881/201,914
  6. Step 6: Final answer
    x = 455,771.68

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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.