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Finding the Third Proportional to 186.84 and 392.44

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Solution

The third proportional to 186.84 and 392.44 is: 824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.84 : 392.44 = 392.44 : x
  2. Step 2: Convert to fraction form
    186.84/392.44 = 392.44/x
  3. Step 3: Cross multiply
    186.84x = 392.44 × 392.44
  4. Step 4: Simplify right side
    186.84x = 154,007.19
  5. Step 5: Solve for x
    x = 154,007.19/186.84
  6. Step 6: Final answer
    x = 824.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.