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Finding the Third Proportional to 86.48 and 225.07

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Solution

The third proportional to 86.48 and 225.07 is: 585.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.48 : 225.07 = 225.07 : x
  2. Step 2: Convert to fraction form
    86.48/225.07 = 225.07/x
  3. Step 3: Cross multiply
    86.48x = 225.07 × 225.07
  4. Step 4: Simplify right side
    86.48x = 50,656.65
  5. Step 5: Solve for x
    x = 50,656.65/86.48
  6. Step 6: Final answer
    x = 585.73

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.