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Finding the Third Proportional to 181,364 and 281,520

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Solution

The third proportional to 181,364 and 281,520 is: 436,985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,364 : 281,520 = 281,520 : x
  2. Step 2: Convert to fraction form
    181,364/281,520 = 281,520/x
  3. Step 3: Cross multiply
    181,364x = 281,520 × 281,520
  4. Step 4: Simplify right side
    181,364x = 79,253,510,400
  5. Step 5: Solve for x
    x = 79,253,510,400/181,364
  6. Step 6: Final answer
    x = 436,985.90

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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.