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Finding the Third Proportional to 193,642 and 299,110

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Solution

The third proportional to 193,642 and 299,110 is: 462,021.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,642 : 299,110 = 299,110 : x
  2. Step 2: Convert to fraction form
    193,642/299,110 = 299,110/x
  3. Step 3: Cross multiply
    193,642x = 299,110 × 299,110
  4. Step 4: Simplify right side
    193,642x = 89,466,792,100
  5. Step 5: Solve for x
    x = 89,466,792,100/193,642
  6. Step 6: Final answer
    x = 462,021.63

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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.