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Finding the Third Proportional to 181,598 and 281,842

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Solution

The third proportional to 181,598 and 281,842 is: 437,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,598 : 281,842 = 281,842 : x
  2. Step 2: Convert to fraction form
    181,598/281,842 = 281,842/x
  3. Step 3: Cross multiply
    181,598x = 281,842 × 281,842
  4. Step 4: Simplify right side
    181,598x = 79,434,912,964
  5. Step 5: Solve for x
    x = 79,434,912,964/181,598
  6. Step 6: Final answer
    x = 437,421.74

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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.