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Finding the Third Proportional to 171,345 and 371,293

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Solution

The third proportional to 171,345 and 371,293 is: 804,566.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,345 : 371,293 = 371,293 : x
  2. Step 2: Convert to fraction form
    171,345/371,293 = 371,293/x
  3. Step 3: Cross multiply
    171,345x = 371,293 × 371,293
  4. Step 4: Simplify right side
    171,345x = 137,858,491,849
  5. Step 5: Solve for x
    x = 137,858,491,849/171,345
  6. Step 6: Final answer
    x = 804,566.76

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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.