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Finding the Third Proportional to 293.31 and 448.66

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Solution

The third proportional to 293.31 and 448.66 is: 686.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.31 : 448.66 = 448.66 : x
  2. Step 2: Convert to fraction form
    293.31/448.66 = 448.66/x
  3. Step 3: Cross multiply
    293.31x = 448.66 × 448.66
  4. Step 4: Simplify right side
    293.31x = 201,299.44
  5. Step 5: Solve for x
    x = 201,299.44/293.31
  6. Step 6: Final answer
    x = 686.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.