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Finding the Third Proportional to 102,825 and 224,328

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Solution

The third proportional to 102,825 and 224,328 is: 489,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,825 : 224,328 = 224,328 : x
  2. Step 2: Convert to fraction form
    102,825/224,328 = 224,328/x
  3. Step 3: Cross multiply
    102,825x = 224,328 × 224,328
  4. Step 4: Simplify right side
    102,825x = 50,323,051,584
  5. Step 5: Solve for x
    x = 50,323,051,584/102,825
  6. Step 6: Final answer
    x = 489,404.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.