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Finding the Third Proportional to 150,574.50 and 220,196

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Solution

The third proportional to 150,574.50 and 220,196 is: 322,008.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,574.50 : 220,196 = 220,196 : x
  2. Step 2: Convert to fraction form
    150,574.50/220,196 = 220,196/x
  3. Step 3: Cross multiply
    150,574.50x = 220,196 × 220,196
  4. Step 4: Simplify right side
    150,574.50x = 48,486,278,416
  5. Step 5: Solve for x
    x = 48,486,278,416/150,574.50
  6. Step 6: Final answer
    x = 322,008.56

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.