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Finding the Third Proportional to 201,910 and 303,353

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Solution

The third proportional to 201,910 and 303,353 is: 455,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,910 : 303,353 = 303,353 : x
  2. Step 2: Convert to fraction form
    201,910/303,353 = 303,353/x
  3. Step 3: Cross multiply
    201,910x = 303,353 × 303,353
  4. Step 4: Simplify right side
    201,910x = 92,023,042,609
  5. Step 5: Solve for x
    x = 92,023,042,609/201,910
  6. Step 6: Final answer
    x = 455,762.68

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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.