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Finding the Third Proportional to 207.25 and 507.67

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Solution

The third proportional to 207.25 and 507.67 is: 1,243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.25 : 507.67 = 507.67 : x
  2. Step 2: Convert to fraction form
    207.25/507.67 = 507.67/x
  3. Step 3: Cross multiply
    207.25x = 507.67 × 507.67
  4. Step 4: Simplify right side
    207.25x = 257,732.72
  5. Step 5: Solve for x
    x = 257,732.72/207.25
  6. Step 6: Final answer
    x = 1,243.61

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.