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Finding the Third Proportional to 144.63 and 207.11

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Solution

The third proportional to 144.63 and 207.11 is: 296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.63 : 207.11 = 207.11 : x
  2. Step 2: Convert to fraction form
    144.63/207.11 = 207.11/x
  3. Step 3: Cross multiply
    144.63x = 207.11 × 207.11
  4. Step 4: Simplify right side
    144.63x = 42,892.68
  5. Step 5: Solve for x
    x = 42,892.68/144.63
  6. Step 6: Final answer
    x = 296.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.