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Finding the Third Proportional to 283.50 and 322.17

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Solution

The third proportional to 283.50 and 322.17 is: 366.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.50 : 322.17 = 322.17 : x
  2. Step 2: Convert to fraction form
    283.50/322.17 = 322.17/x
  3. Step 3: Cross multiply
    283.50x = 322.17 × 322.17
  4. Step 4: Simplify right side
    283.50x = 103,794.72
  5. Step 5: Solve for x
    x = 103,794.72/283.50
  6. Step 6: Final answer
    x = 366.12

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.