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Finding the Third Proportional to 293.77 and 448.45

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Solution

The third proportional to 293.77 and 448.45 is: 684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.77 : 448.45 = 448.45 : x
  2. Step 2: Convert to fraction form
    293.77/448.45 = 448.45/x
  3. Step 3: Cross multiply
    293.77x = 448.45 × 448.45
  4. Step 4: Simplify right side
    293.77x = 201,110.21
  5. Step 5: Solve for x
    x = 201,110.21/293.77
  6. Step 6: Final answer
    x = 684.59

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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.