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Finding the Third Proportional to 246.56 and 542.06

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Solution

The third proportional to 246.56 and 542.06 is: 1,191.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.56 : 542.06 = 542.06 : x
  2. Step 2: Convert to fraction form
    246.56/542.06 = 542.06/x
  3. Step 3: Cross multiply
    246.56x = 542.06 × 542.06
  4. Step 4: Simplify right side
    246.56x = 293,831.75
  5. Step 5: Solve for x
    x = 293,831.75/246.56
  6. Step 6: Final answer
    x = 1,191.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.