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Finding the Third Proportional to 223,760 and 436,160

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Solution

The third proportional to 223,760 and 436,160 is: 850,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,760 : 436,160 = 436,160 : x
  2. Step 2: Convert to fraction form
    223,760/436,160 = 436,160/x
  3. Step 3: Cross multiply
    223,760x = 436,160 × 436,160
  4. Step 4: Simplify right side
    223,760x = 190,235,545,600
  5. Step 5: Solve for x
    x = 190,235,545,600/223,760
  6. Step 6: Final answer
    x = 850,176.73

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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.