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Finding the Third Proportional to 75,227 and 165,214

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Solution

The third proportional to 75,227 and 165,214 is: 362,844.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,227 : 165,214 = 165,214 : x
  2. Step 2: Convert to fraction form
    75,227/165,214 = 165,214/x
  3. Step 3: Cross multiply
    75,227x = 165,214 × 165,214
  4. Step 4: Simplify right side
    75,227x = 27,295,665,796
  5. Step 5: Solve for x
    x = 27,295,665,796/75,227
  6. Step 6: Final answer
    x = 362,844.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.