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Finding the Third Proportional to 171,396 and 371,394

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Solution

The third proportional to 171,396 and 371,394 is: 804,765.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,396 : 371,394 = 371,394 : x
  2. Step 2: Convert to fraction form
    171,396/371,394 = 371,394/x
  3. Step 3: Cross multiply
    171,396x = 371,394 × 371,394
  4. Step 4: Simplify right side
    171,396x = 137,933,503,236
  5. Step 5: Solve for x
    x = 137,933,503,236/171,396
  6. Step 6: Final answer
    x = 804,765.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.