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Finding the Third Proportional to 282.06 and 607.69

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Solution

The third proportional to 282.06 and 607.69 is: 1,309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.06 : 607.69 = 607.69 : x
  2. Step 2: Convert to fraction form
    282.06/607.69 = 607.69/x
  3. Step 3: Cross multiply
    282.06x = 607.69 × 607.69
  4. Step 4: Simplify right side
    282.06x = 369,284.10
  5. Step 5: Solve for x
    x = 369,284.10/282.06
  6. Step 6: Final answer
    x = 1,309.23

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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.