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Finding the Third Proportional to 186.47 and 206.30

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Solution

The third proportional to 186.47 and 206.30 is: 228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.47 : 206.30 = 206.30 : x
  2. Step 2: Convert to fraction form
    186.47/206.30 = 206.30/x
  3. Step 3: Cross multiply
    186.47x = 206.30 × 206.30
  4. Step 4: Simplify right side
    186.47x = 42,558.40
  5. Step 5: Solve for x
    x = 42,558.40/186.47
  6. Step 6: Final answer
    x = 228.23

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.