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Finding the Third Proportional to 171,358 and 371,317

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Solution

The third proportional to 171,358 and 371,317 is: 804,609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,358 : 371,317 = 371,317 : x
  2. Step 2: Convert to fraction form
    171,358/371,317 = 371,317/x
  3. Step 3: Cross multiply
    171,358x = 371,317 × 371,317
  4. Step 4: Simplify right side
    171,358x = 137,876,314,489
  5. Step 5: Solve for x
    x = 137,876,314,489/171,358
  6. Step 6: Final answer
    x = 804,609.73

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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.