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Finding the Third Proportional to 228,422 and 329,025

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Solution

The third proportional to 228,422 and 329,025 is: 473,936.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,422 : 329,025 = 329,025 : x
  2. Step 2: Convert to fraction form
    228,422/329,025 = 329,025/x
  3. Step 3: Cross multiply
    228,422x = 329,025 × 329,025
  4. Step 4: Simplify right side
    228,422x = 108,257,450,625
  5. Step 5: Solve for x
    x = 108,257,450,625/228,422
  6. Step 6: Final answer
    x = 473,936.18

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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.