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Finding the Third Proportional to 227,292 and 347,856

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Solution

The third proportional to 227,292 and 347,856 is: 532,371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,292 : 347,856 = 347,856 : x
  2. Step 2: Convert to fraction form
    227,292/347,856 = 347,856/x
  3. Step 3: Cross multiply
    227,292x = 347,856 × 347,856
  4. Step 4: Simplify right side
    227,292x = 121,003,796,736
  5. Step 5: Solve for x
    x = 121,003,796,736/227,292
  6. Step 6: Final answer
    x = 532,371.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.