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Finding the Third Proportional to 246.94 and 357.47

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Solution

The third proportional to 246.94 and 357.47 is: 517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.94 : 357.47 = 357.47 : x
  2. Step 2: Convert to fraction form
    246.94/357.47 = 357.47/x
  3. Step 3: Cross multiply
    246.94x = 357.47 × 357.47
  4. Step 4: Simplify right side
    246.94x = 127,783.91
  5. Step 5: Solve for x
    x = 127,783.91/246.94
  6. Step 6: Final answer
    x = 517.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.