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Finding the Third Proportional to 230,236 and 471,882

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Solution

The third proportional to 230,236 and 471,882 is: 967,149.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,236 : 471,882 = 471,882 : x
  2. Step 2: Convert to fraction form
    230,236/471,882 = 471,882/x
  3. Step 3: Cross multiply
    230,236x = 471,882 × 471,882
  4. Step 4: Simplify right side
    230,236x = 222,672,621,924
  5. Step 5: Solve for x
    x = 222,672,621,924/230,236
  6. Step 6: Final answer
    x = 967,149.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.