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Finding the Third Proportional to 227,332 and 331,003

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Solution

The third proportional to 227,332 and 331,003 is: 481,951.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,332 : 331,003 = 331,003 : x
  2. Step 2: Convert to fraction form
    227,332/331,003 = 331,003/x
  3. Step 3: Cross multiply
    227,332x = 331,003 × 331,003
  4. Step 4: Simplify right side
    227,332x = 109,562,986,009
  5. Step 5: Solve for x
    x = 109,562,986,009/227,332
  6. Step 6: Final answer
    x = 481,951.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.