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Finding the Third Proportional to 140.63 and 186.19

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Solution

The third proportional to 140.63 and 186.19 is: 246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.63 : 186.19 = 186.19 : x
  2. Step 2: Convert to fraction form
    140.63/186.19 = 186.19/x
  3. Step 3: Cross multiply
    140.63x = 186.19 × 186.19
  4. Step 4: Simplify right side
    140.63x = 34,665.79
  5. Step 5: Solve for x
    x = 34,665.79/140.63
  6. Step 6: Final answer
    x = 246.51

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.