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Finding the Third Proportional to 225,968 and 331,944

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Solution

The third proportional to 225,968 and 331,944 is: 487,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,968 : 331,944 = 331,944 : x
  2. Step 2: Convert to fraction form
    225,968/331,944 = 331,944/x
  3. Step 3: Cross multiply
    225,968x = 331,944 × 331,944
  4. Step 4: Simplify right side
    225,968x = 110,186,819,136
  5. Step 5: Solve for x
    x = 110,186,819,136/225,968
  6. Step 6: Final answer
    x = 487,621.34

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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.