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Finding the Third Proportional to 106,016 and 226,364

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Solution

The third proportional to 106,016 and 226,364 is: 483,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,016 : 226,364 = 226,364 : x
  2. Step 2: Convert to fraction form
    106,016/226,364 = 226,364/x
  3. Step 3: Cross multiply
    106,016x = 226,364 × 226,364
  4. Step 4: Simplify right side
    106,016x = 51,240,660,496
  5. Step 5: Solve for x
    x = 51,240,660,496/106,016
  6. Step 6: Final answer
    x = 483,329.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.