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Finding the Third Proportional to 336.13 and 525.25

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Solution

The third proportional to 336.13 and 525.25 is: 820.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.13 : 525.25 = 525.25 : x
  2. Step 2: Convert to fraction form
    336.13/525.25 = 525.25/x
  3. Step 3: Cross multiply
    336.13x = 525.25 × 525.25
  4. Step 4: Simplify right side
    336.13x = 275,887.56
  5. Step 5: Solve for x
    x = 275,887.56/336.13
  6. Step 6: Final answer
    x = 820.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.