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Finding the Third Proportional to 201,675 and 440,285

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Solution

The third proportional to 201,675 and 440,285 is: 961,204.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,675 : 440,285 = 440,285 : x
  2. Step 2: Convert to fraction form
    201,675/440,285 = 440,285/x
  3. Step 3: Cross multiply
    201,675x = 440,285 × 440,285
  4. Step 4: Simplify right side
    201,675x = 193,850,881,225
  5. Step 5: Solve for x
    x = 193,850,881,225/201,675
  6. Step 6: Final answer
    x = 961,204.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.