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Finding the Third Proportional to 167,049 and 350,500.50

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Solution

The third proportional to 167,049 and 350,500.50 is: 735,416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,049 : 350,500.50 = 350,500.50 : x
  2. Step 2: Convert to fraction form
    167,049/350,500.50 = 350,500.50/x
  3. Step 3: Cross multiply
    167,049x = 350,500.50 × 350,500.50
  4. Step 4: Simplify right side
    167,049x = 122,850,600,500.25
  5. Step 5: Solve for x
    x = 122,850,600,500.25/167,049
  6. Step 6: Final answer
    x = 735,416.56

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.