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Finding the Third Proportional to 246.09 and 379.83

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Solution

The third proportional to 246.09 and 379.83 is: 586.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.09 : 379.83 = 379.83 : x
  2. Step 2: Convert to fraction form
    246.09/379.83 = 379.83/x
  3. Step 3: Cross multiply
    246.09x = 379.83 × 379.83
  4. Step 4: Simplify right side
    246.09x = 144,269.40
  5. Step 5: Solve for x
    x = 144,269.40/246.09
  6. Step 6: Final answer
    x = 586.24

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.