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Finding the Third Proportional to 322.75 and 485.50

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Solution

The third proportional to 322.75 and 485.50 is: 730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.75 : 485.50 = 485.50 : x
  2. Step 2: Convert to fraction form
    322.75/485.50 = 485.50/x
  3. Step 3: Cross multiply
    322.75x = 485.50 × 485.50
  4. Step 4: Simplify right side
    322.75x = 235,710.25
  5. Step 5: Solve for x
    x = 235,710.25/322.75
  6. Step 6: Final answer
    x = 730.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.