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Finding the Third Proportional to 150,205.50 and 328,090.50

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Solution

The third proportional to 150,205.50 and 328,090.50 is: 716,640.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,205.50 : 328,090.50 = 328,090.50 : x
  2. Step 2: Convert to fraction form
    150,205.50/328,090.50 = 328,090.50/x
  3. Step 3: Cross multiply
    150,205.50x = 328,090.50 × 328,090.50
  4. Step 4: Simplify right side
    150,205.50x = 107,643,376,190.25
  5. Step 5: Solve for x
    x = 107,643,376,190.25/150,205.50
  6. Step 6: Final answer
    x = 716,640.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.