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Finding the Third Proportional to 192,415.50 and 306,228.38

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Solution

The third proportional to 192,415.50 and 306,228.38 is: 487,361.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,415.50 : 306,228.38 = 306,228.38 : x
  2. Step 2: Convert to fraction form
    192,415.50/306,228.38 = 306,228.38/x
  3. Step 3: Cross multiply
    192,415.50x = 306,228.38 × 306,228.38
  4. Step 4: Simplify right side
    192,415.50x = 93,775,817,655.14
  5. Step 5: Solve for x
    x = 93,775,817,655.14/192,415.50
  6. Step 6: Final answer
    x = 487,361.04

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.