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Finding the Third Proportional to 148,812 and 351,225

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Solution

The third proportional to 148,812 and 351,225 is: 828,958.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,812 : 351,225 = 351,225 : x
  2. Step 2: Convert to fraction form
    148,812/351,225 = 351,225/x
  3. Step 3: Cross multiply
    148,812x = 351,225 × 351,225
  4. Step 4: Simplify right side
    148,812x = 123,359,000,625
  5. Step 5: Solve for x
    x = 123,359,000,625/148,812
  6. Step 6: Final answer
    x = 828,958.69

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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.