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Finding the Third Proportional to 173,205.75 and 372,196.50

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Solution

The third proportional to 173,205.75 and 372,196.50 is: 799,801.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,205.75 : 372,196.50 = 372,196.50 : x
  2. Step 2: Convert to fraction form
    173,205.75/372,196.50 = 372,196.50/x
  3. Step 3: Cross multiply
    173,205.75x = 372,196.50 × 372,196.50
  4. Step 4: Simplify right side
    173,205.75x = 138,530,234,612.25
  5. Step 5: Solve for x
    x = 138,530,234,612.25/173,205.75
  6. Step 6: Final answer
    x = 799,801.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.