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Finding the Third Proportional to 110,827 and 235,494

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Solution

The third proportional to 110,827 and 235,494 is: 500,396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,827 : 235,494 = 235,494 : x
  2. Step 2: Convert to fraction form
    110,827/235,494 = 235,494/x
  3. Step 3: Cross multiply
    110,827x = 235,494 × 235,494
  4. Step 4: Simplify right side
    110,827x = 55,457,424,036
  5. Step 5: Solve for x
    x = 55,457,424,036/110,827
  6. Step 6: Final answer
    x = 500,396.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.