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Finding the Third Proportional to 106,929 and 231,502

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Solution

The third proportional to 106,929 and 231,502 is: 501,203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,929 : 231,502 = 231,502 : x
  2. Step 2: Convert to fraction form
    106,929/231,502 = 231,502/x
  3. Step 3: Cross multiply
    106,929x = 231,502 × 231,502
  4. Step 4: Simplify right side
    106,929x = 53,593,176,004
  5. Step 5: Solve for x
    x = 53,593,176,004/106,929
  6. Step 6: Final answer
    x = 501,203.38

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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.