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Finding the Third Proportional to 148,819 and 351,234

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Solution

The third proportional to 148,819 and 351,234 is: 828,962.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,819 : 351,234 = 351,234 : x
  2. Step 2: Convert to fraction form
    148,819/351,234 = 351,234/x
  3. Step 3: Cross multiply
    148,819x = 351,234 × 351,234
  4. Step 4: Simplify right side
    148,819x = 123,365,322,756
  5. Step 5: Solve for x
    x = 123,365,322,756/148,819
  6. Step 6: Final answer
    x = 828,962.18

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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.