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Finding the Third Proportional to 207.52 and 296.51

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Solution

The third proportional to 207.52 and 296.51 is: 423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.52 : 296.51 = 296.51 : x
  2. Step 2: Convert to fraction form
    207.52/296.51 = 296.51/x
  3. Step 3: Cross multiply
    207.52x = 296.51 × 296.51
  4. Step 4: Simplify right side
    207.52x = 87,919.49
  5. Step 5: Solve for x
    x = 87,919.49/207.52
  6. Step 6: Final answer
    x = 423.66

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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.