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Finding the Third Proportional to 541.88 and 1,170.38

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Solution

The third proportional to 541.88 and 1,170.38 is: 2,527.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.88 : 1,170.38 = 1,170.38 : x
  2. Step 2: Convert to fraction form
    541.88/1,170.38 = 1,170.38/x
  3. Step 3: Cross multiply
    541.88x = 1,170.38 × 1,170.38
  4. Step 4: Simplify right side
    541.88x = 1,369,777.64
  5. Step 5: Solve for x
    x = 1,369,777.64/541.88
  6. Step 6: Final answer
    x = 2,527.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.