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Finding the Third Proportional to 282.23 and 607.92

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Solution

The third proportional to 282.23 and 607.92 is: 1,309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.23 : 607.92 = 607.92 : x
  2. Step 2: Convert to fraction form
    282.23/607.92 = 607.92/x
  3. Step 3: Cross multiply
    282.23x = 607.92 × 607.92
  4. Step 4: Simplify right side
    282.23x = 369,569.01
  5. Step 5: Solve for x
    x = 369,569.01/282.23
  6. Step 6: Final answer
    x = 1,309.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.