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Finding the Third Proportional to 246.32 and 568.82

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Solution

The third proportional to 246.32 and 568.82 is: 1,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.32 : 568.82 = 568.82 : x
  2. Step 2: Convert to fraction form
    246.32/568.82 = 568.82/x
  3. Step 3: Cross multiply
    246.32x = 568.82 × 568.82
  4. Step 4: Simplify right side
    246.32x = 323,555.44
  5. Step 5: Solve for x
    x = 323,555.44/246.32
  6. Step 6: Final answer
    x = 1,313.55

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.