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Finding the Third Proportional to 107,696 and 228,352

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Solution

The third proportional to 107,696 and 228,352 is: 484,183.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,696 : 228,352 = 228,352 : x
  2. Step 2: Convert to fraction form
    107,696/228,352 = 228,352/x
  3. Step 3: Cross multiply
    107,696x = 228,352 × 228,352
  4. Step 4: Simplify right side
    107,696x = 52,144,635,904
  5. Step 5: Solve for x
    x = 52,144,635,904/107,696
  6. Step 6: Final answer
    x = 484,183.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.