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Finding the Third Proportional to 230,944 and 347,096

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Solution

The third proportional to 230,944 and 347,096 is: 521,666.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,944 : 347,096 = 347,096 : x
  2. Step 2: Convert to fraction form
    230,944/347,096 = 347,096/x
  3. Step 3: Cross multiply
    230,944x = 347,096 × 347,096
  4. Step 4: Simplify right side
    230,944x = 120,475,633,216
  5. Step 5: Solve for x
    x = 120,475,633,216/230,944
  6. Step 6: Final answer
    x = 521,666.00

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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.