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Finding the Third Proportional to 310.18 and 454.25

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Solution

The third proportional to 310.18 and 454.25 is: 665.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.18 : 454.25 = 454.25 : x
  2. Step 2: Convert to fraction form
    310.18/454.25 = 454.25/x
  3. Step 3: Cross multiply
    310.18x = 454.25 × 454.25
  4. Step 4: Simplify right side
    310.18x = 206,346.61
  5. Step 5: Solve for x
    x = 206,346.61/310.18
  6. Step 6: Final answer
    x = 665.24

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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.