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Finding the Third Proportional to 174,611 and 381,207

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Solution

The third proportional to 174,611 and 381,207 is: 832,242.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,611 : 381,207 = 381,207 : x
  2. Step 2: Convert to fraction form
    174,611/381,207 = 381,207/x
  3. Step 3: Cross multiply
    174,611x = 381,207 × 381,207
  4. Step 4: Simplify right side
    174,611x = 145,318,776,849
  5. Step 5: Solve for x
    x = 145,318,776,849/174,611
  6. Step 6: Final answer
    x = 832,242.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.