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Finding the Third Proportional to 293.50 and 415.25

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Solution

The third proportional to 293.50 and 415.25 is: 587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.50 : 415.25 = 415.25 : x
  2. Step 2: Convert to fraction form
    293.50/415.25 = 415.25/x
  3. Step 3: Cross multiply
    293.50x = 415.25 × 415.25
  4. Step 4: Simplify right side
    293.50x = 172,432.56
  5. Step 5: Solve for x
    x = 172,432.56/293.50
  6. Step 6: Final answer
    x = 587.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.