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Finding the Third Proportional to 241.13 and 525.81

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Solution

The third proportional to 241.13 and 525.81 is: 1,146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.13 : 525.81 = 525.81 : x
  2. Step 2: Convert to fraction form
    241.13/525.81 = 525.81/x
  3. Step 3: Cross multiply
    241.13x = 525.81 × 525.81
  4. Step 4: Simplify right side
    241.13x = 276,478.79
  5. Step 5: Solve for x
    x = 276,478.79/241.13
  6. Step 6: Final answer
    x = 1,146.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.