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Finding the Third Proportional to 185,202 and 393,668

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Solution

The third proportional to 185,202 and 393,668 is: 836,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,202 : 393,668 = 393,668 : x
  2. Step 2: Convert to fraction form
    185,202/393,668 = 393,668/x
  3. Step 3: Cross multiply
    185,202x = 393,668 × 393,668
  4. Step 4: Simplify right side
    185,202x = 154,974,494,224
  5. Step 5: Solve for x
    x = 154,974,494,224/185,202
  6. Step 6: Final answer
    x = 836,786.29

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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.