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Finding the Third Proportional to 192.48 and 392.03

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Solution

The third proportional to 192.48 and 392.03 is: 798.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.48 : 392.03 = 392.03 : x
  2. Step 2: Convert to fraction form
    192.48/392.03 = 392.03/x
  3. Step 3: Cross multiply
    192.48x = 392.03 × 392.03
  4. Step 4: Simplify right side
    192.48x = 153,685.44
  5. Step 5: Solve for x
    x = 153,685.44/192.48
  6. Step 6: Final answer
    x = 798.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.