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Finding the Third Proportional to 106,140 and 230,694

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Solution

The third proportional to 106,140 and 230,694 is: 501,410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,140 : 230,694 = 230,694 : x
  2. Step 2: Convert to fraction form
    106,140/230,694 = 230,694/x
  3. Step 3: Cross multiply
    106,140x = 230,694 × 230,694
  4. Step 4: Simplify right side
    106,140x = 53,219,721,636
  5. Step 5: Solve for x
    x = 53,219,721,636/106,140
  6. Step 6: Final answer
    x = 501,410.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.