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Finding the Third Proportional to 196,028.96 and 305,224.35

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Solution

The third proportional to 196,028.96 and 305,224.35 is: 475,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,028.96 : 305,224.35 = 305,224.35 : x
  2. Step 2: Convert to fraction form
    196,028.96/305,224.35 = 305,224.35/x
  3. Step 3: Cross multiply
    196,028.96x = 305,224.35 × 305,224.35
  4. Step 4: Simplify right side
    196,028.96x = 93,161,902,402.18
  5. Step 5: Solve for x
    x = 93,161,902,402.18/196,028.96
  6. Step 6: Final answer
    x = 475,245.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.