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Finding the Third Proportional to 230,448 and 309,696

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Solution

The third proportional to 230,448 and 309,696 is: 416,196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,448 : 309,696 = 309,696 : x
  2. Step 2: Convert to fraction form
    230,448/309,696 = 309,696/x
  3. Step 3: Cross multiply
    230,448x = 309,696 × 309,696
  4. Step 4: Simplify right side
    230,448x = 95,911,612,416
  5. Step 5: Solve for x
    x = 95,911,612,416/230,448
  6. Step 6: Final answer
    x = 416,196.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.