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Finding the Third Proportional to 150,403.50 and 325,350

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Solution

The third proportional to 150,403.50 and 325,350 is: 703,790.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,403.50 : 325,350 = 325,350 : x
  2. Step 2: Convert to fraction form
    150,403.50/325,350 = 325,350/x
  3. Step 3: Cross multiply
    150,403.50x = 325,350 × 325,350
  4. Step 4: Simplify right side
    150,403.50x = 105,852,622,500
  5. Step 5: Solve for x
    x = 105,852,622,500/150,403.50
  6. Step 6: Final answer
    x = 703,790.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.