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Finding the Third Proportional to 106,012 and 226,356

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Solution

The third proportional to 106,012 and 226,356 is: 483,313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,012 : 226,356 = 226,356 : x
  2. Step 2: Convert to fraction form
    106,012/226,356 = 226,356/x
  3. Step 3: Cross multiply
    106,012x = 226,356 × 226,356
  4. Step 4: Simplify right side
    106,012x = 51,237,038,736
  5. Step 5: Solve for x
    x = 51,237,038,736/106,012
  6. Step 6: Final answer
    x = 483,313.58

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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.