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Finding the Third Proportional to 303.31 and 466.25

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Solution

The third proportional to 303.31 and 466.25 is: 716.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.31 : 466.25 = 466.25 : x
  2. Step 2: Convert to fraction form
    303.31/466.25 = 466.25/x
  3. Step 3: Cross multiply
    303.31x = 466.25 × 466.25
  4. Step 4: Simplify right side
    303.31x = 217,389.06
  5. Step 5: Solve for x
    x = 217,389.06/303.31
  6. Step 6: Final answer
    x = 716.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.