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Finding the Third Proportional to 193,194 and 407,364

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Solution

The third proportional to 193,194 and 407,364 is: 858,957.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,194 : 407,364 = 407,364 : x
  2. Step 2: Convert to fraction form
    193,194/407,364 = 407,364/x
  3. Step 3: Cross multiply
    193,194x = 407,364 × 407,364
  4. Step 4: Simplify right side
    193,194x = 165,945,428,496
  5. Step 5: Solve for x
    x = 165,945,428,496/193,194
  6. Step 6: Final answer
    x = 858,957.47

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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.