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Finding the Third Proportional to 106,086 and 230,841

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Solution

The third proportional to 106,086 and 230,841 is: 502,305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,086 : 230,841 = 230,841 : x
  2. Step 2: Convert to fraction form
    106,086/230,841 = 230,841/x
  3. Step 3: Cross multiply
    106,086x = 230,841 × 230,841
  4. Step 4: Simplify right side
    106,086x = 53,287,567,281
  5. Step 5: Solve for x
    x = 53,287,567,281/106,086
  6. Step 6: Final answer
    x = 502,305.37

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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.