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Finding the Third Proportional to 105,474 and 230,982

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Solution

The third proportional to 105,474 and 230,982 is: 505,837.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,474 : 230,982 = 230,982 : x
  2. Step 2: Convert to fraction form
    105,474/230,982 = 230,982/x
  3. Step 3: Cross multiply
    105,474x = 230,982 × 230,982
  4. Step 4: Simplify right side
    105,474x = 53,352,684,324
  5. Step 5: Solve for x
    x = 53,352,684,324/105,474
  6. Step 6: Final answer
    x = 505,837.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.