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Finding the Third Proportional to 80,242.31 and 173,333.25

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Solution

The third proportional to 80,242.31 and 173,333.25 is: 374,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,242.31 : 173,333.25 = 173,333.25 : x
  2. Step 2: Convert to fraction form
    80,242.31/173,333.25 = 173,333.25/x
  3. Step 3: Cross multiply
    80,242.31x = 173,333.25 × 173,333.25
  4. Step 4: Simplify right side
    80,242.31x = 30,044,415,555.56
  5. Step 5: Solve for x
    x = 30,044,415,555.56/80,242.31
  6. Step 6: Final answer
    x = 374,421.11

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.