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Finding the Third Proportional to 183,726 and 393,696

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Solution

The third proportional to 183,726 and 393,696 is: 843,628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,726 : 393,696 = 393,696 : x
  2. Step 2: Convert to fraction form
    183,726/393,696 = 393,696/x
  3. Step 3: Cross multiply
    183,726x = 393,696 × 393,696
  4. Step 4: Simplify right side
    183,726x = 154,996,540,416
  5. Step 5: Solve for x
    x = 154,996,540,416/183,726
  6. Step 6: Final answer
    x = 843,628.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.