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Finding the Third Proportional to 325.97 and 468.14

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Solution

The third proportional to 325.97 and 468.14 is: 672.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.97 : 468.14 = 468.14 : x
  2. Step 2: Convert to fraction form
    325.97/468.14 = 468.14/x
  3. Step 3: Cross multiply
    325.97x = 468.14 × 468.14
  4. Step 4: Simplify right side
    325.97x = 219,155.64
  5. Step 5: Solve for x
    x = 219,155.64/325.97
  6. Step 6: Final answer
    x = 672.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.