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Finding the Third Proportional to 102,208 and 224,128

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Solution

The third proportional to 102,208 and 224,128 is: 491,481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,208 : 224,128 = 224,128 : x
  2. Step 2: Convert to fraction form
    102,208/224,128 = 224,128/x
  3. Step 3: Cross multiply
    102,208x = 224,128 × 224,128
  4. Step 4: Simplify right side
    102,208x = 50,233,360,384
  5. Step 5: Solve for x
    x = 50,233,360,384/102,208
  6. Step 6: Final answer
    x = 491,481.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.