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Finding the Third Proportional to 185,200 and 393,664

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Solution

The third proportional to 185,200 and 393,664 is: 836,778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,200 : 393,664 = 393,664 : x
  2. Step 2: Convert to fraction form
    185,200/393,664 = 393,664/x
  3. Step 3: Cross multiply
    185,200x = 393,664 × 393,664
  4. Step 4: Simplify right side
    185,200x = 154,971,344,896
  5. Step 5: Solve for x
    x = 154,971,344,896/185,200
  6. Step 6: Final answer
    x = 836,778.32

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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.