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Finding the Third Proportional to 179,226 and 275,085

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Solution

The third proportional to 179,226 and 275,085 is: 422,214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,226 : 275,085 = 275,085 : x
  2. Step 2: Convert to fraction form
    179,226/275,085 = 275,085/x
  3. Step 3: Cross multiply
    179,226x = 275,085 × 275,085
  4. Step 4: Simplify right side
    179,226x = 75,671,757,225
  5. Step 5: Solve for x
    x = 75,671,757,225/179,226
  6. Step 6: Final answer
    x = 422,214.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.