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Finding the Third Proportional to 106,085 and 230,578

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Solution

The third proportional to 106,085 and 230,578 is: 501,166.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,085 : 230,578 = 230,578 : x
  2. Step 2: Convert to fraction form
    106,085/230,578 = 230,578/x
  3. Step 3: Cross multiply
    106,085x = 230,578 × 230,578
  4. Step 4: Simplify right side
    106,085x = 53,166,214,084
  5. Step 5: Solve for x
    x = 53,166,214,084/106,085
  6. Step 6: Final answer
    x = 501,166.18

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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.