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Finding the Third Proportional to 240.25 and 512.50

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Solution

The third proportional to 240.25 and 512.50 is: 1,093.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.25 : 512.50 = 512.50 : x
  2. Step 2: Convert to fraction form
    240.25/512.50 = 512.50/x
  3. Step 3: Cross multiply
    240.25x = 512.50 × 512.50
  4. Step 4: Simplify right side
    240.25x = 262,656.25
  5. Step 5: Solve for x
    x = 262,656.25/240.25
  6. Step 6: Final answer
    x = 1,093.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.