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Finding the Third Proportional to 113.09 and 246.63

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Solution

The third proportional to 113.09 and 246.63 is: 537.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.09 : 246.63 = 246.63 : x
  2. Step 2: Convert to fraction form
    113.09/246.63 = 246.63/x
  3. Step 3: Cross multiply
    113.09x = 246.63 × 246.63
  4. Step 4: Simplify right side
    113.09x = 60,827.74
  5. Step 5: Solve for x
    x = 60,827.74/113.09
  6. Step 6: Final answer
    x = 537.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.