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Finding the Third Proportional to 146,205 and 220,900.50

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Solution

The third proportional to 146,205 and 220,900.50 is: 333,757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,205 : 220,900.50 = 220,900.50 : x
  2. Step 2: Convert to fraction form
    146,205/220,900.50 = 220,900.50/x
  3. Step 3: Cross multiply
    146,205x = 220,900.50 × 220,900.50
  4. Step 4: Simplify right side
    146,205x = 48,797,030,900.25
  5. Step 5: Solve for x
    x = 48,797,030,900.25/146,205
  6. Step 6: Final answer
    x = 333,757.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.