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Finding the Third Proportional to 186.56 and 368.06

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Solution

The third proportional to 186.56 and 368.06 is: 726.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.56 : 368.06 = 368.06 : x
  2. Step 2: Convert to fraction form
    186.56/368.06 = 368.06/x
  3. Step 3: Cross multiply
    186.56x = 368.06 × 368.06
  4. Step 4: Simplify right side
    186.56x = 135,470.00
  5. Step 5: Solve for x
    x = 135,470.00/186.56
  6. Step 6: Final answer
    x = 726.14

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.