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Finding the Third Proportional to 240.79 and 525.23

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Solution

The third proportional to 240.79 and 525.23 is: 1,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.79 : 525.23 = 525.23 : x
  2. Step 2: Convert to fraction form
    240.79/525.23 = 525.23/x
  3. Step 3: Cross multiply
    240.79x = 525.23 × 525.23
  4. Step 4: Simplify right side
    240.79x = 275,871.15
  5. Step 5: Solve for x
    x = 275,871.15/240.79
  6. Step 6: Final answer
    x = 1,145.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.