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Finding the Third Proportional to 171,406 and 372,295

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Solution

The third proportional to 171,406 and 372,295 is: 808,627.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,406 : 372,295 = 372,295 : x
  2. Step 2: Convert to fraction form
    171,406/372,295 = 372,295/x
  3. Step 3: Cross multiply
    171,406x = 372,295 × 372,295
  4. Step 4: Simplify right side
    171,406x = 138,603,567,025
  5. Step 5: Solve for x
    x = 138,603,567,025/171,406
  6. Step 6: Final answer
    x = 808,627.28

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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.