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Finding the Third Proportional to 171,715 and 372,014

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Solution

The third proportional to 171,715 and 372,014 is: 805,954.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,715 : 372,014 = 372,014 : x
  2. Step 2: Convert to fraction form
    171,715/372,014 = 372,014/x
  3. Step 3: Cross multiply
    171,715x = 372,014 × 372,014
  4. Step 4: Simplify right side
    171,715x = 138,394,416,196
  5. Step 5: Solve for x
    x = 138,394,416,196/171,715
  6. Step 6: Final answer
    x = 805,954.15

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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.