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Finding the Third Proportional to 181,416 and 281,598

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Solution

The third proportional to 181,416 and 281,598 is: 437,102.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,416 : 281,598 = 281,598 : x
  2. Step 2: Convert to fraction form
    181,416/281,598 = 281,598/x
  3. Step 3: Cross multiply
    181,416x = 281,598 × 281,598
  4. Step 4: Simplify right side
    181,416x = 79,297,433,604
  5. Step 5: Solve for x
    x = 79,297,433,604/181,416
  6. Step 6: Final answer
    x = 437,102.76

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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.