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Finding the Third Proportional to 174,771 and 381,294

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Solution

The third proportional to 174,771 and 381,294 is: 831,860.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,771 : 381,294 = 381,294 : x
  2. Step 2: Convert to fraction form
    174,771/381,294 = 381,294/x
  3. Step 3: Cross multiply
    174,771x = 381,294 × 381,294
  4. Step 4: Simplify right side
    174,771x = 145,385,114,436
  5. Step 5: Solve for x
    x = 145,385,114,436/174,771
  6. Step 6: Final answer
    x = 831,860.63

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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.