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Finding the Third Proportional to 246.31 and 570.13

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Solution

The third proportional to 246.31 and 570.13 is: 1,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.31 : 570.13 = 570.13 : x
  2. Step 2: Convert to fraction form
    246.31/570.13 = 570.13/x
  3. Step 3: Cross multiply
    246.31x = 570.13 × 570.13
  4. Step 4: Simplify right side
    246.31x = 325,042.52
  5. Step 5: Solve for x
    x = 325,042.52/246.31
  6. Step 6: Final answer
    x = 1,319.63

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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.