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Finding the Third Proportional to 150,314.63 and 220,542.75

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Solution

The third proportional to 150,314.63 and 220,542.75 is: 323,581.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,314.63 : 220,542.75 = 220,542.75 : x
  2. Step 2: Convert to fraction form
    150,314.63/220,542.75 = 220,542.75/x
  3. Step 3: Cross multiply
    150,314.63x = 220,542.75 × 220,542.75
  4. Step 4: Simplify right side
    150,314.63x = 48,639,104,577.56
  5. Step 5: Solve for x
    x = 48,639,104,577.56/150,314.63
  6. Step 6: Final answer
    x = 323,581.98

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.