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Finding the Third Proportional to 247.39 and 525.16

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Solution

The third proportional to 247.39 and 525.16 is: 1,114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.39 : 525.16 = 525.16 : x
  2. Step 2: Convert to fraction form
    247.39/525.16 = 525.16/x
  3. Step 3: Cross multiply
    247.39x = 525.16 × 525.16
  4. Step 4: Simplify right side
    247.39x = 275,788.06
  5. Step 5: Solve for x
    x = 275,788.06/247.39
  6. Step 6: Final answer
    x = 1,114.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.