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Finding the Third Proportional to 105,678 and 230,955

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Solution

The third proportional to 105,678 and 230,955 is: 504,742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,678 : 230,955 = 230,955 : x
  2. Step 2: Convert to fraction form
    105,678/230,955 = 230,955/x
  3. Step 3: Cross multiply
    105,678x = 230,955 × 230,955
  4. Step 4: Simplify right side
    105,678x = 53,340,212,025
  5. Step 5: Solve for x
    x = 53,340,212,025/105,678
  6. Step 6: Final answer
    x = 504,742.82

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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.