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Finding the Third Proportional to 102,264 and 223,122

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Solution

The third proportional to 102,264 and 223,122 is: 486,812.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,264 : 223,122 = 223,122 : x
  2. Step 2: Convert to fraction form
    102,264/223,122 = 223,122/x
  3. Step 3: Cross multiply
    102,264x = 223,122 × 223,122
  4. Step 4: Simplify right side
    102,264x = 49,783,426,884
  5. Step 5: Solve for x
    x = 49,783,426,884/102,264
  6. Step 6: Final answer
    x = 486,812.83

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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.