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Finding the Third Proportional to 185,022 and 393,696

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Solution

The third proportional to 185,022 and 393,696 is: 837,719.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,022 : 393,696 = 393,696 : x
  2. Step 2: Convert to fraction form
    185,022/393,696 = 393,696/x
  3. Step 3: Cross multiply
    185,022x = 393,696 × 393,696
  4. Step 4: Simplify right side
    185,022x = 154,996,540,416
  5. Step 5: Solve for x
    x = 154,996,540,416/185,022
  6. Step 6: Final answer
    x = 837,719.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.