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Finding the Third Proportional to 103,696 and 224,192

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Solution

The third proportional to 103,696 and 224,192 is: 484,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,696 : 224,192 = 224,192 : x
  2. Step 2: Convert to fraction form
    103,696/224,192 = 224,192/x
  3. Step 3: Cross multiply
    103,696x = 224,192 × 224,192
  4. Step 4: Simplify right side
    103,696x = 50,262,052,864
  5. Step 5: Solve for x
    x = 50,262,052,864/103,696
  6. Step 6: Final answer
    x = 484,705.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.