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Finding the Third Proportional to 224,638 and 328,172

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Solution

The third proportional to 224,638 and 328,172 is: 479,424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,638 : 328,172 = 328,172 : x
  2. Step 2: Convert to fraction form
    224,638/328,172 = 328,172/x
  3. Step 3: Cross multiply
    224,638x = 328,172 × 328,172
  4. Step 4: Simplify right side
    224,638x = 107,696,861,584
  5. Step 5: Solve for x
    x = 107,696,861,584/224,638
  6. Step 6: Final answer
    x = 479,424.06

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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.