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Finding the Third Proportional to 181,161 and 266,202

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Solution

The third proportional to 181,161 and 266,202 is: 391,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,161 : 266,202 = 266,202 : x
  2. Step 2: Convert to fraction form
    181,161/266,202 = 266,202/x
  3. Step 3: Cross multiply
    181,161x = 266,202 × 266,202
  4. Step 4: Simplify right side
    181,161x = 70,863,504,804
  5. Step 5: Solve for x
    x = 70,863,504,804/181,161
  6. Step 6: Final answer
    x = 391,163.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.