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Finding the Third Proportional to 286.13 and 665.06

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Solution

The third proportional to 286.13 and 665.06 is: 1,545.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.13 : 665.06 = 665.06 : x
  2. Step 2: Convert to fraction form
    286.13/665.06 = 665.06/x
  3. Step 3: Cross multiply
    286.13x = 665.06 × 665.06
  4. Step 4: Simplify right side
    286.13x = 442,308.13
  5. Step 5: Solve for x
    x = 442,308.13/286.13
  6. Step 6: Final answer
    x = 1,545.86

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.