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Finding the Third Proportional to 297.25 and 434.88

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Solution

The third proportional to 297.25 and 434.88 is: 636.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.25 : 434.88 = 434.88 : x
  2. Step 2: Convert to fraction form
    297.25/434.88 = 434.88/x
  3. Step 3: Cross multiply
    297.25x = 434.88 × 434.88
  4. Step 4: Simplify right side
    297.25x = 189,116.27
  5. Step 5: Solve for x
    x = 189,116.27/297.25
  6. Step 6: Final answer
    x = 636.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.