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Finding the Third Proportional to 106,364 and 226,807

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Solution

The third proportional to 106,364 and 226,807 is: 483,635.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,364 : 226,807 = 226,807 : x
  2. Step 2: Convert to fraction form
    106,364/226,807 = 226,807/x
  3. Step 3: Cross multiply
    106,364x = 226,807 × 226,807
  4. Step 4: Simplify right side
    106,364x = 51,441,415,249
  5. Step 5: Solve for x
    x = 51,441,415,249/106,364
  6. Step 6: Final answer
    x = 483,635.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.