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Finding the Third Proportional to 201,214 and 437,374

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Solution

The third proportional to 201,214 and 437,374 is: 950,709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,214 : 437,374 = 437,374 : x
  2. Step 2: Convert to fraction form
    201,214/437,374 = 437,374/x
  3. Step 3: Cross multiply
    201,214x = 437,374 × 437,374
  4. Step 4: Simplify right side
    201,214x = 191,296,015,876
  5. Step 5: Solve for x
    x = 191,296,015,876/201,214
  6. Step 6: Final answer
    x = 950,709.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.