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Finding the Third Proportional to 148,960.69 and 351,353.53

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Solution

The third proportional to 148,960.69 and 351,353.53 is: 828,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,960.69 : 351,353.53 = 351,353.53 : x
  2. Step 2: Convert to fraction form
    148,960.69/351,353.53 = 351,353.53/x
  3. Step 3: Cross multiply
    148,960.69x = 351,353.53 × 351,353.53
  4. Step 4: Simplify right side
    148,960.69x = 123,449,303,921.85
  5. Step 5: Solve for x
    x = 123,449,303,921.85/148,960.69
  6. Step 6: Final answer
    x = 828,737.47

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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.