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Finding the Third Proportional to 225,944 and 331,364

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Solution

The third proportional to 225,944 and 331,364 is: 485,970.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,944 : 331,364 = 331,364 : x
  2. Step 2: Convert to fraction form
    225,944/331,364 = 331,364/x
  3. Step 3: Cross multiply
    225,944x = 331,364 × 331,364
  4. Step 4: Simplify right side
    225,944x = 109,802,100,496
  5. Step 5: Solve for x
    x = 109,802,100,496/225,944
  6. Step 6: Final answer
    x = 485,970.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.