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Finding the Third Proportional to 242.72 and 548.16

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Solution

The third proportional to 242.72 and 548.16 is: 1,237.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.72 : 548.16 = 548.16 : x
  2. Step 2: Convert to fraction form
    242.72/548.16 = 548.16/x
  3. Step 3: Cross multiply
    242.72x = 548.16 × 548.16
  4. Step 4: Simplify right side
    242.72x = 300,475.27
  5. Step 5: Solve for x
    x = 300,475.27/242.72
  6. Step 6: Final answer
    x = 1,237.96

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.