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Finding the Third Proportional to 193,968 and 299,592

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Solution

The third proportional to 193,968 and 299,592 is: 462,732.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,968 : 299,592 = 299,592 : x
  2. Step 2: Convert to fraction form
    193,968/299,592 = 299,592/x
  3. Step 3: Cross multiply
    193,968x = 299,592 × 299,592
  4. Step 4: Simplify right side
    193,968x = 89,755,366,464
  5. Step 5: Solve for x
    x = 89,755,366,464/193,968
  6. Step 6: Final answer
    x = 462,732.86

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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.