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Finding the Third Proportional to 525.16 and 826.18

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Solution

The third proportional to 525.16 and 826.18 is: 1,299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.16 : 826.18 = 826.18 : x
  2. Step 2: Convert to fraction form
    525.16/826.18 = 826.18/x
  3. Step 3: Cross multiply
    525.16x = 826.18 × 826.18
  4. Step 4: Simplify right side
    525.16x = 682,567.23
  5. Step 5: Solve for x
    x = 682,567.23/525.16
  6. Step 6: Final answer
    x = 1,299.74

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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.