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Finding the Third Proportional to 334.31 and 525.13

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Solution

The third proportional to 334.31 and 525.13 is: 824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.31 : 525.13 = 525.13 : x
  2. Step 2: Convert to fraction form
    334.31/525.13 = 525.13/x
  3. Step 3: Cross multiply
    334.31x = 525.13 × 525.13
  4. Step 4: Simplify right side
    334.31x = 275,756.27
  5. Step 5: Solve for x
    x = 275,756.27/334.31
  6. Step 6: Final answer
    x = 824.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.