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Finding the Third Proportional to 207.25 and 434.43

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Solution

The third proportional to 207.25 and 434.43 is: 910.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.25 : 434.43 = 434.43 : x
  2. Step 2: Convert to fraction form
    207.25/434.43 = 434.43/x
  3. Step 3: Cross multiply
    207.25x = 434.43 × 434.43
  4. Step 4: Simplify right side
    207.25x = 188,725.76
  5. Step 5: Solve for x
    x = 188,725.76/207.25
  6. Step 6: Final answer
    x = 910.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.