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Finding the Third Proportional to 297.25 and 625.25

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Solution

The third proportional to 297.25 and 625.25 is: 1,315.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.25 : 625.25 = 625.25 : x
  2. Step 2: Convert to fraction form
    297.25/625.25 = 625.25/x
  3. Step 3: Cross multiply
    297.25x = 625.25 × 625.25
  4. Step 4: Simplify right side
    297.25x = 390,937.56
  5. Step 5: Solve for x
    x = 390,937.56/297.25
  6. Step 6: Final answer
    x = 1,315.18

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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.