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Finding the Third Proportional to 166.13 and 436.13

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Solution

The third proportional to 166.13 and 436.13 is: 1,144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.13 : 436.13 = 436.13 : x
  2. Step 2: Convert to fraction form
    166.13/436.13 = 436.13/x
  3. Step 3: Cross multiply
    166.13x = 436.13 × 436.13
  4. Step 4: Simplify right side
    166.13x = 190,205.02
  5. Step 5: Solve for x
    x = 190,205.02/166.13
  6. Step 6: Final answer
    x = 1,144.95

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.