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Finding the Third Proportional to 106,634 and 230,345

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Solution

The third proportional to 106,634 and 230,345 is: 497,578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,634 : 230,345 = 230,345 : x
  2. Step 2: Convert to fraction form
    106,634/230,345 = 230,345/x
  3. Step 3: Cross multiply
    106,634x = 230,345 × 230,345
  4. Step 4: Simplify right side
    106,634x = 53,058,819,025
  5. Step 5: Solve for x
    x = 53,058,819,025/106,634
  6. Step 6: Final answer
    x = 497,578.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.