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Finding the Third Proportional to 144.16 and 206.63

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Solution

The third proportional to 144.16 and 206.63 is: 296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.16 : 206.63 = 206.63 : x
  2. Step 2: Convert to fraction form
    144.16/206.63 = 206.63/x
  3. Step 3: Cross multiply
    144.16x = 206.63 × 206.63
  4. Step 4: Simplify right side
    144.16x = 42,697.22
  5. Step 5: Solve for x
    x = 42,697.22/144.16
  6. Step 6: Final answer
    x = 296.17

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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.