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Finding the Third Proportional to 262.65 and 525.30

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Solution

The third proportional to 262.65 and 525.30 is: 1,050.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.65 : 525.30 = 525.30 : x
  2. Step 2: Convert to fraction form
    262.65/525.30 = 525.30/x
  3. Step 3: Cross multiply
    262.65x = 525.30 × 525.30
  4. Step 4: Simplify right side
    262.65x = 275,945.01
  5. Step 5: Solve for x
    x = 275,945.01/262.65
  6. Step 6: Final answer
    x = 1,050.61

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.