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Finding the Third Proportional to 230,286 and 351,000

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Solution

The third proportional to 230,286 and 351,000 is: 534,991.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,286 : 351,000 = 351,000 : x
  2. Step 2: Convert to fraction form
    230,286/351,000 = 351,000/x
  3. Step 3: Cross multiply
    230,286x = 351,000 × 351,000
  4. Step 4: Simplify right side
    230,286x = 123,201,000,000
  5. Step 5: Solve for x
    x = 123,201,000,000/230,286
  6. Step 6: Final answer
    x = 534,991.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.