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Finding the Third Proportional to 146,692.69 and 321,382.69

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Solution

The third proportional to 146,692.69 and 321,382.69 is: 704,103.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,692.69 : 321,382.69 = 321,382.69 : x
  2. Step 2: Convert to fraction form
    146,692.69/321,382.69 = 321,382.69/x
  3. Step 3: Cross multiply
    146,692.69x = 321,382.69 × 321,382.69
  4. Step 4: Simplify right side
    146,692.69x = 103,286,831,824.72
  5. Step 5: Solve for x
    x = 103,286,831,824.72/146,692.69
  6. Step 6: Final answer
    x = 704,103.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.