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Finding the Third Proportional to 193,969.69 and 414,560.53

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Solution

The third proportional to 193,969.69 and 414,560.53 is: 886,016.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,969.69 : 414,560.53 = 414,560.53 : x
  2. Step 2: Convert to fraction form
    193,969.69/414,560.53 = 414,560.53/x
  3. Step 3: Cross multiply
    193,969.69x = 414,560.53 × 414,560.53
  4. Step 4: Simplify right side
    193,969.69x = 171,860,434,070.28
  5. Step 5: Solve for x
    x = 171,860,434,070.28/193,969.69
  6. Step 6: Final answer
    x = 886,016.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.