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Finding the Third Proportional to 331.59 and 525.23

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Solution

The third proportional to 331.59 and 525.23 is: 831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.59 : 525.23 = 525.23 : x
  2. Step 2: Convert to fraction form
    331.59/525.23 = 525.23/x
  3. Step 3: Cross multiply
    331.59x = 525.23 × 525.23
  4. Step 4: Simplify right side
    331.59x = 275,871.15
  5. Step 5: Solve for x
    x = 275,871.15/331.59
  6. Step 6: Final answer
    x = 831.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.