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Finding the Third Proportional to 223,742 and 436,144

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Solution

The third proportional to 223,742 and 436,144 is: 850,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,742 : 436,144 = 436,144 : x
  2. Step 2: Convert to fraction form
    223,742/436,144 = 436,144/x
  3. Step 3: Cross multiply
    223,742x = 436,144 × 436,144
  4. Step 4: Simplify right side
    223,742x = 190,221,588,736
  5. Step 5: Solve for x
    x = 190,221,588,736/223,742
  6. Step 6: Final answer
    x = 850,182.75

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.