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Finding the Third Proportional to 80,302.50 and 174,906

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Solution

The third proportional to 80,302.50 and 174,906 is: 380,960.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,302.50 : 174,906 = 174,906 : x
  2. Step 2: Convert to fraction form
    80,302.50/174,906 = 174,906/x
  3. Step 3: Cross multiply
    80,302.50x = 174,906 × 174,906
  4. Step 4: Simplify right side
    80,302.50x = 30,592,108,836
  5. Step 5: Solve for x
    x = 30,592,108,836/80,302.50
  6. Step 6: Final answer
    x = 380,960.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.