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Finding the Third Proportional to 149,262.75 and 219,520.13

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Solution

The third proportional to 149,262.75 and 219,520.13 is: 322,847.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,262.75 : 219,520.13 = 219,520.13 : x
  2. Step 2: Convert to fraction form
    149,262.75/219,520.13 = 219,520.13/x
  3. Step 3: Cross multiply
    149,262.75x = 219,520.13 × 219,520.13
  4. Step 4: Simplify right side
    149,262.75x = 48,189,085,280.02
  5. Step 5: Solve for x
    x = 48,189,085,280.02/149,262.75
  6. Step 6: Final answer
    x = 322,847.36

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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.