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Finding the Third Proportional to 201,350 and 441,451

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Solution

The third proportional to 201,350 and 441,451 is: 967,861.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,350 : 441,451 = 441,451 : x
  2. Step 2: Convert to fraction form
    201,350/441,451 = 441,451/x
  3. Step 3: Cross multiply
    201,350x = 441,451 × 441,451
  4. Step 4: Simplify right side
    201,350x = 194,878,985,401
  5. Step 5: Solve for x
    x = 194,878,985,401/201,350
  6. Step 6: Final answer
    x = 967,861.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.