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Finding the Third Proportional to 223,744 and 436,148

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Solution

The third proportional to 223,744 and 436,148 is: 850,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,744 : 436,148 = 436,148 : x
  2. Step 2: Convert to fraction form
    223,744/436,148 = 436,148/x
  3. Step 3: Cross multiply
    223,744x = 436,148 × 436,148
  4. Step 4: Simplify right side
    223,744x = 190,225,077,904
  5. Step 5: Solve for x
    x = 190,225,077,904/223,744
  6. Step 6: Final answer
    x = 850,190.74

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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.