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Finding the Third Proportional to 173,193.19 and 372,174.75

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Solution

The third proportional to 173,193.19 and 372,174.75 is: 799,766.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,193.19 : 372,174.75 = 372,174.75 : x
  2. Step 2: Convert to fraction form
    173,193.19/372,174.75 = 372,174.75/x
  3. Step 3: Cross multiply
    173,193.19x = 372,174.75 × 372,174.75
  4. Step 4: Simplify right side
    173,193.19x = 138,514,044,537.56
  5. Step 5: Solve for x
    x = 138,514,044,537.56/173,193.19
  6. Step 6: Final answer
    x = 799,766.13

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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.