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Finding the Third Proportional to 246.80 and 525.87

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Solution

The third proportional to 246.80 and 525.87 is: 1,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.80 : 525.87 = 525.87 : x
  2. Step 2: Convert to fraction form
    246.80/525.87 = 525.87/x
  3. Step 3: Cross multiply
    246.80x = 525.87 × 525.87
  4. Step 4: Simplify right side
    246.80x = 276,536.30
  5. Step 5: Solve for x
    x = 276,536.30/246.80
  6. Step 6: Final answer
    x = 1,120.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.