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Finding the Third Proportional to 181,181 and 266,443

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Solution

The third proportional to 181,181 and 266,443 is: 391,828.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,181 : 266,443 = 266,443 : x
  2. Step 2: Convert to fraction form
    181,181/266,443 = 266,443/x
  3. Step 3: Cross multiply
    181,181x = 266,443 × 266,443
  4. Step 4: Simplify right side
    181,181x = 70,991,872,249
  5. Step 5: Solve for x
    x = 70,991,872,249/181,181
  6. Step 6: Final answer
    x = 391,828.46

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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.