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Finding the Third Proportional to 171,397 and 371,396

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Solution

The third proportional to 171,397 and 371,396 is: 804,768.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,397 : 371,396 = 371,396 : x
  2. Step 2: Convert to fraction form
    171,397/371,396 = 371,396/x
  3. Step 3: Cross multiply
    171,397x = 371,396 × 371,396
  4. Step 4: Simplify right side
    171,397x = 137,934,988,816
  5. Step 5: Solve for x
    x = 137,934,988,816/171,397
  6. Step 6: Final answer
    x = 804,768.98

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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.