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Finding the Third Proportional to 155,611.50 and 220,205.25

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Solution

The third proportional to 155,611.50 and 220,205.25 is: 311,611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,611.50 : 220,205.25 = 220,205.25 : x
  2. Step 2: Convert to fraction form
    155,611.50/220,205.25 = 220,205.25/x
  3. Step 3: Cross multiply
    155,611.50x = 220,205.25 × 220,205.25
  4. Step 4: Simplify right side
    155,611.50x = 48,490,352,127.56
  5. Step 5: Solve for x
    x = 48,490,352,127.56/155,611.50
  6. Step 6: Final answer
    x = 311,611.62

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.