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Finding the Third Proportional to 106,662 and 246,927

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Solution

The third proportional to 106,662 and 246,927 is: 571,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,662 : 246,927 = 246,927 : x
  2. Step 2: Convert to fraction form
    106,662/246,927 = 246,927/x
  3. Step 3: Cross multiply
    106,662x = 246,927 × 246,927
  4. Step 4: Simplify right side
    106,662x = 60,972,943,329
  5. Step 5: Solve for x
    x = 60,972,943,329/106,662
  6. Step 6: Final answer
    x = 571,646.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.