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Finding the Third Proportional to 234,766 and 351,249

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Solution

The third proportional to 234,766 and 351,249 is: 525,526.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,766 : 351,249 = 351,249 : x
  2. Step 2: Convert to fraction form
    234,766/351,249 = 351,249/x
  3. Step 3: Cross multiply
    234,766x = 351,249 × 351,249
  4. Step 4: Simplify right side
    234,766x = 123,375,860,001
  5. Step 5: Solve for x
    x = 123,375,860,001/234,766
  6. Step 6: Final answer
    x = 525,526.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.