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Finding the Third Proportional to 196,734.75 and 303,796.13

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Solution

The third proportional to 196,734.75 and 303,796.13 is: 469,119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,734.75 : 303,796.13 = 303,796.13 : x
  2. Step 2: Convert to fraction form
    196,734.75/303,796.13 = 303,796.13/x
  3. Step 3: Cross multiply
    196,734.75x = 303,796.13 × 303,796.13
  4. Step 4: Simplify right side
    196,734.75x = 92,292,085,565.02
  5. Step 5: Solve for x
    x = 92,292,085,565.02/196,734.75
  6. Step 6: Final answer
    x = 469,119.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.