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Finding the Third Proportional to 297.25 and 465.25

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Solution

The third proportional to 297.25 and 465.25 is: 728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.25 : 465.25 = 465.25 : x
  2. Step 2: Convert to fraction form
    297.25/465.25 = 465.25/x
  3. Step 3: Cross multiply
    297.25x = 465.25 × 465.25
  4. Step 4: Simplify right side
    297.25x = 216,457.56
  5. Step 5: Solve for x
    x = 216,457.56/297.25
  6. Step 6: Final answer
    x = 728.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.