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Finding the Third Proportional to 181,071 and 281,961

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Solution

The third proportional to 181,071 and 281,961 is: 439,065.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,071 : 281,961 = 281,961 : x
  2. Step 2: Convert to fraction form
    181,071/281,961 = 281,961/x
  3. Step 3: Cross multiply
    181,071x = 281,961 × 281,961
  4. Step 4: Simplify right side
    181,071x = 79,502,005,521
  5. Step 5: Solve for x
    x = 79,502,005,521/181,071
  6. Step 6: Final answer
    x = 439,065.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.