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Finding the Third Proportional to 181,412 and 281,592

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Solution

The third proportional to 181,412 and 281,592 is: 437,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,412 : 281,592 = 281,592 : x
  2. Step 2: Convert to fraction form
    181,412/281,592 = 281,592/x
  3. Step 3: Cross multiply
    181,412x = 281,592 × 281,592
  4. Step 4: Simplify right side
    181,412x = 79,294,054,464
  5. Step 5: Solve for x
    x = 79,294,054,464/181,412
  6. Step 6: Final answer
    x = 437,093.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.