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Finding the Third Proportional to 180,158 and 269,227

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Solution

The third proportional to 180,158 and 269,227 is: 402,331.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,158 : 269,227 = 269,227 : x
  2. Step 2: Convert to fraction form
    180,158/269,227 = 269,227/x
  3. Step 3: Cross multiply
    180,158x = 269,227 × 269,227
  4. Step 4: Simplify right side
    180,158x = 72,483,177,529
  5. Step 5: Solve for x
    x = 72,483,177,529/180,158
  6. Step 6: Final answer
    x = 402,331.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.