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Finding the Third Proportional to 235.30 and 506.99

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Solution

The third proportional to 235.30 and 506.99 is: 1,092.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.30 : 506.99 = 506.99 : x
  2. Step 2: Convert to fraction form
    235.30/506.99 = 506.99/x
  3. Step 3: Cross multiply
    235.30x = 506.99 × 506.99
  4. Step 4: Simplify right side
    235.30x = 257,037.12
  5. Step 5: Solve for x
    x = 257,037.12/235.30
  6. Step 6: Final answer
    x = 1,092.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.