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Finding the Third Proportional to 186.38 and 407.34

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Solution

The third proportional to 186.38 and 407.34 is: 890.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.38 : 407.34 = 407.34 : x
  2. Step 2: Convert to fraction form
    186.38/407.34 = 407.34/x
  3. Step 3: Cross multiply
    186.38x = 407.34 × 407.34
  4. Step 4: Simplify right side
    186.38x = 165,928.93
  5. Step 5: Solve for x
    x = 165,928.93/186.38
  6. Step 6: Final answer
    x = 890.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.