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Finding the Third Proportional to 189,578.50 and 412,633.75

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Solution

The third proportional to 189,578.50 and 412,633.75 is: 898,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,578.50 : 412,633.75 = 412,633.75 : x
  2. Step 2: Convert to fraction form
    189,578.50/412,633.75 = 412,633.75/x
  3. Step 3: Cross multiply
    189,578.50x = 412,633.75 × 412,633.75
  4. Step 4: Simplify right side
    189,578.50x = 170,266,611,639.06
  5. Step 5: Solve for x
    x = 170,266,611,639.06/189,578.50
  6. Step 6: Final answer
    x = 898,132.50

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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.