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Finding the Third Proportional to 816.75 and 1,308.38

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Solution

The third proportional to 816.75 and 1,308.38 is: 2,095.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.75 : 1,308.38 = 1,308.38 : x
  2. Step 2: Convert to fraction form
    816.75/1,308.38 = 1,308.38/x
  3. Step 3: Cross multiply
    816.75x = 1,308.38 × 1,308.38
  4. Step 4: Simplify right side
    816.75x = 1,711,845.14
  5. Step 5: Solve for x
    x = 1,711,845.14/816.75
  6. Step 6: Final answer
    x = 2,095.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.