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Finding the Third Proportional to 224,205 and 327,684

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Solution

The third proportional to 224,205 and 327,684 is: 478,922.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,205 : 327,684 = 327,684 : x
  2. Step 2: Convert to fraction form
    224,205/327,684 = 327,684/x
  3. Step 3: Cross multiply
    224,205x = 327,684 × 327,684
  4. Step 4: Simplify right side
    224,205x = 107,376,803,856
  5. Step 5: Solve for x
    x = 107,376,803,856/224,205
  6. Step 6: Final answer
    x = 478,922.43

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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.