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Finding the Third Proportional to 103,224 and 226,356

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Solution

The third proportional to 103,224 and 226,356 is: 496,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,224 : 226,356 = 226,356 : x
  2. Step 2: Convert to fraction form
    103,224/226,356 = 226,356/x
  3. Step 3: Cross multiply
    103,224x = 226,356 × 226,356
  4. Step 4: Simplify right side
    103,224x = 51,237,038,736
  5. Step 5: Solve for x
    x = 51,237,038,736/103,224
  6. Step 6: Final answer
    x = 496,367.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.