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Finding the Third Proportional to 146,611.69 and 226,651.50

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Solution

The third proportional to 146,611.69 and 226,651.50 is: 350,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,611.69 : 226,651.50 = 226,651.50 : x
  2. Step 2: Convert to fraction form
    146,611.69/226,651.50 = 226,651.50/x
  3. Step 3: Cross multiply
    146,611.69x = 226,651.50 × 226,651.50
  4. Step 4: Simplify right side
    146,611.69x = 51,370,902,452.25
  5. Step 5: Solve for x
    x = 51,370,902,452.25/146,611.69
  6. Step 6: Final answer
    x = 350,387.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.