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Finding the Third Proportional to 171,733 and 372,052.25

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Solution

The third proportional to 171,733 and 372,052.25 is: 806,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,733 : 372,052.25 = 372,052.25 : x
  2. Step 2: Convert to fraction form
    171,733/372,052.25 = 372,052.25/x
  3. Step 3: Cross multiply
    171,733x = 372,052.25 × 372,052.25
  4. Step 4: Simplify right side
    171,733x = 138,422,876,730.06
  5. Step 5: Solve for x
    x = 138,422,876,730.06/171,733
  6. Step 6: Final answer
    x = 806,035.40

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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.