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Finding the Third Proportional to 227,664 and 328,908

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Solution

The third proportional to 227,664 and 328,908 is: 475,176.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,664 : 328,908 = 328,908 : x
  2. Step 2: Convert to fraction form
    227,664/328,908 = 328,908/x
  3. Step 3: Cross multiply
    227,664x = 328,908 × 328,908
  4. Step 4: Simplify right side
    227,664x = 108,180,472,464
  5. Step 5: Solve for x
    x = 108,180,472,464/227,664
  6. Step 6: Final answer
    x = 475,176.02

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.