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Finding the Third Proportional to 242.88 and 513.13

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Solution

The third proportional to 242.88 and 513.13 is: 1,084.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.88 : 513.13 = 513.13 : x
  2. Step 2: Convert to fraction form
    242.88/513.13 = 513.13/x
  3. Step 3: Cross multiply
    242.88x = 513.13 × 513.13
  4. Step 4: Simplify right side
    242.88x = 263,297.27
  5. Step 5: Solve for x
    x = 263,297.27/242.88
  6. Step 6: Final answer
    x = 1,084.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.