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Finding the Third Proportional to 105,909 and 232,807

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Solution

The third proportional to 105,909 and 232,807 is: 511,751.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,909 : 232,807 = 232,807 : x
  2. Step 2: Convert to fraction form
    105,909/232,807 = 232,807/x
  3. Step 3: Cross multiply
    105,909x = 232,807 × 232,807
  4. Step 4: Simplify right side
    105,909x = 54,199,099,249
  5. Step 5: Solve for x
    x = 54,199,099,249/105,909
  6. Step 6: Final answer
    x = 511,751.59

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Why These Related Problems?

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