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Finding the Third Proportional to 155,508 and 220,228.50

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Solution

The third proportional to 155,508 and 220,228.50 is: 311,884.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,508 : 220,228.50 = 220,228.50 : x
  2. Step 2: Convert to fraction form
    155,508/220,228.50 = 220,228.50/x
  3. Step 3: Cross multiply
    155,508x = 220,228.50 × 220,228.50
  4. Step 4: Simplify right side
    155,508x = 48,500,592,212.25
  5. Step 5: Solve for x
    x = 48,500,592,212.25/155,508
  6. Step 6: Final answer
    x = 311,884.87

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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.