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Finding the Third Proportional to 181,204 and 266,480

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Solution

The third proportional to 181,204 and 266,480 is: 391,887.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,204 : 266,480 = 266,480 : x
  2. Step 2: Convert to fraction form
    181,204/266,480 = 266,480/x
  3. Step 3: Cross multiply
    181,204x = 266,480 × 266,480
  4. Step 4: Simplify right side
    181,204x = 71,011,590,400
  5. Step 5: Solve for x
    x = 71,011,590,400/181,204
  6. Step 6: Final answer
    x = 391,887.54

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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.