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Finding the Third Proportional to 148,817.25 and 351,231.75

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Solution

The third proportional to 148,817.25 and 351,231.75 is: 828,961.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,817.25 : 351,231.75 = 351,231.75 : x
  2. Step 2: Convert to fraction form
    148,817.25/351,231.75 = 351,231.75/x
  3. Step 3: Cross multiply
    148,817.25x = 351,231.75 × 351,231.75
  4. Step 4: Simplify right side
    148,817.25x = 123,363,742,208.06
  5. Step 5: Solve for x
    x = 123,363,742,208.06/148,817.25
  6. Step 6: Final answer
    x = 828,961.31

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.