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Finding the Third Proportional to 109,696 and 239,696

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Solution

The third proportional to 109,696 and 239,696 is: 523,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,696 : 239,696 = 239,696 : x
  2. Step 2: Convert to fraction form
    109,696/239,696 = 239,696/x
  3. Step 3: Cross multiply
    109,696x = 239,696 × 239,696
  4. Step 4: Simplify right side
    109,696x = 57,454,172,416
  5. Step 5: Solve for x
    x = 57,454,172,416/109,696
  6. Step 6: Final answer
    x = 523,758.14

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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.