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Finding the Third Proportional to 525.52 and 1,143.14

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Solution

The third proportional to 525.52 and 1,143.14 is: 2,486.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.52 : 1,143.14 = 1,143.14 : x
  2. Step 2: Convert to fraction form
    525.52/1,143.14 = 1,143.14/x
  3. Step 3: Cross multiply
    525.52x = 1,143.14 × 1,143.14
  4. Step 4: Simplify right side
    525.52x = 1,306,770.49
  5. Step 5: Solve for x
    x = 1,306,770.49/525.52
  6. Step 6: Final answer
    x = 2,486.64

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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.