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Finding the Third Proportional to 186.63 and 409.25

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Solution

The third proportional to 186.63 and 409.25 is: 897.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.63 : 409.25 = 409.25 : x
  2. Step 2: Convert to fraction form
    186.63/409.25 = 409.25/x
  3. Step 3: Cross multiply
    186.63x = 409.25 × 409.25
  4. Step 4: Simplify right side
    186.63x = 167,485.56
  5. Step 5: Solve for x
    x = 167,485.56/186.63
  6. Step 6: Final answer
    x = 897.44

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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.