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Finding the Third Proportional to 181,359 and 281,769

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Solution

The third proportional to 181,359 and 281,769 is: 437,771.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,359 : 281,769 = 281,769 : x
  2. Step 2: Convert to fraction form
    181,359/281,769 = 281,769/x
  3. Step 3: Cross multiply
    181,359x = 281,769 × 281,769
  4. Step 4: Simplify right side
    181,359x = 79,393,769,361
  5. Step 5: Solve for x
    x = 79,393,769,361/181,359
  6. Step 6: Final answer
    x = 437,771.32

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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.