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Finding the Third Proportional to 863.13 and 1,345.88

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Solution

The third proportional to 863.13 and 1,345.88 is: 2,098.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.13 : 1,345.88 = 1,345.88 : x
  2. Step 2: Convert to fraction form
    863.13/1,345.88 = 1,345.88/x
  3. Step 3: Cross multiply
    863.13x = 1,345.88 × 1,345.88
  4. Step 4: Simplify right side
    863.13x = 1,811,379.52
  5. Step 5: Solve for x
    x = 1,811,379.52/863.13
  6. Step 6: Final answer
    x = 2,098.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.