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Finding the Third Proportional to 193,880 and 405,418

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Solution

The third proportional to 193,880 and 405,418 is: 847,760.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,880 : 405,418 = 405,418 : x
  2. Step 2: Convert to fraction form
    193,880/405,418 = 405,418/x
  3. Step 3: Cross multiply
    193,880x = 405,418 × 405,418
  4. Step 4: Simplify right side
    193,880x = 164,363,754,724
  5. Step 5: Solve for x
    x = 164,363,754,724/193,880
  6. Step 6: Final answer
    x = 847,760.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.