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Finding the Third Proportional to 179,249 and 275,141

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Solution

The third proportional to 179,249 and 275,141 is: 422,331.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,249 : 275,141 = 275,141 : x
  2. Step 2: Convert to fraction form
    179,249/275,141 = 275,141/x
  3. Step 3: Cross multiply
    179,249x = 275,141 × 275,141
  4. Step 4: Simplify right side
    179,249x = 75,702,569,881
  5. Step 5: Solve for x
    x = 75,702,569,881/179,249
  6. Step 6: Final answer
    x = 422,331.90

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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.