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Finding the Third Proportional to 181,080 and 266,067

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Solution

The third proportional to 181,080 and 266,067 is: 390,941.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,080 : 266,067 = 266,067 : x
  2. Step 2: Convert to fraction form
    181,080/266,067 = 266,067/x
  3. Step 3: Cross multiply
    181,080x = 266,067 × 266,067
  4. Step 4: Simplify right side
    181,080x = 70,791,648,489
  5. Step 5: Solve for x
    x = 70,791,648,489/181,080
  6. Step 6: Final answer
    x = 390,941.29

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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.