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Finding the Third Proportional to 201,233 and 415,224

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Solution

The third proportional to 201,233 and 415,224 is: 856,772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,233 : 415,224 = 415,224 : x
  2. Step 2: Convert to fraction form
    201,233/415,224 = 415,224/x
  3. Step 3: Cross multiply
    201,233x = 415,224 × 415,224
  4. Step 4: Simplify right side
    201,233x = 172,410,970,176
  5. Step 5: Solve for x
    x = 172,410,970,176/201,233
  6. Step 6: Final answer
    x = 856,772.85

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.