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Finding the Third Proportional to 106,932 and 230,364

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Solution

The third proportional to 106,932 and 230,364 is: 496,274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,932 : 230,364 = 230,364 : x
  2. Step 2: Convert to fraction form
    106,932/230,364 = 230,364/x
  3. Step 3: Cross multiply
    106,932x = 230,364 × 230,364
  4. Step 4: Simplify right side
    106,932x = 53,067,572,496
  5. Step 5: Solve for x
    x = 53,067,572,496/106,932
  6. Step 6: Final answer
    x = 496,274.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.