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Finding the Third Proportional to 148,821.50 and 351,241.25

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Solution

The third proportional to 148,821.50 and 351,241.25 is: 828,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,821.50 : 351,241.25 = 351,241.25 : x
  2. Step 2: Convert to fraction form
    148,821.50/351,241.25 = 351,241.25/x
  3. Step 3: Cross multiply
    148,821.50x = 351,241.25 × 351,241.25
  4. Step 4: Simplify right side
    148,821.50x = 123,370,415,701.56
  5. Step 5: Solve for x
    x = 123,370,415,701.56/148,821.50
  6. Step 6: Final answer
    x = 828,982.48

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Why These Related Problems?

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