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Finding the Third Proportional to 191,576 and 281,796

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Solution

The third proportional to 191,576 and 281,796 is: 414,503.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,576 : 281,796 = 281,796 : x
  2. Step 2: Convert to fraction form
    191,576/281,796 = 281,796/x
  3. Step 3: Cross multiply
    191,576x = 281,796 × 281,796
  4. Step 4: Simplify right side
    191,576x = 79,408,985,616
  5. Step 5: Solve for x
    x = 79,408,985,616/191,576
  6. Step 6: Final answer
    x = 414,503.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.