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Finding the Third Proportional to 212.25 and 320

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Solution

The third proportional to 212.25 and 320 is: 482.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.25 : 320 = 320 : x
  2. Step 2: Convert to fraction form
    212.25/320 = 320/x
  3. Step 3: Cross multiply
    212.25x = 320 × 320
  4. Step 4: Simplify right side
    212.25x = 102,400
  5. Step 5: Solve for x
    x = 102,400/212.25
  6. Step 6: Final answer
    x = 482.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.