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Finding the Third Proportional to 230,096 and 471,344

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Solution

The third proportional to 230,096 and 471,344 is: 965,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,096 : 471,344 = 471,344 : x
  2. Step 2: Convert to fraction form
    230,096/471,344 = 471,344/x
  3. Step 3: Cross multiply
    230,096x = 471,344 × 471,344
  4. Step 4: Simplify right side
    230,096x = 222,165,166,336
  5. Step 5: Solve for x
    x = 222,165,166,336/230,096
  6. Step 6: Final answer
    x = 965,532.50

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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.