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Finding the Third Proportional to 193,183 and 407,342

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Solution

The third proportional to 193,183 and 407,342 is: 858,913.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,183 : 407,342 = 407,342 : x
  2. Step 2: Convert to fraction form
    193,183/407,342 = 407,342/x
  3. Step 3: Cross multiply
    193,183x = 407,342 × 407,342
  4. Step 4: Simplify right side
    193,183x = 165,927,504,964
  5. Step 5: Solve for x
    x = 165,927,504,964/193,183
  6. Step 6: Final answer
    x = 858,913.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.