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Finding the Third Proportional to 193,987.75 and 299,285.13

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Solution

The third proportional to 193,987.75 and 299,285.13 is: 461,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,987.75 : 299,285.13 = 299,285.13 : x
  2. Step 2: Convert to fraction form
    193,987.75/299,285.13 = 299,285.13/x
  3. Step 3: Cross multiply
    193,987.75x = 299,285.13 × 299,285.13
  4. Step 4: Simplify right side
    193,987.75x = 89,571,586,046.27
  5. Step 5: Solve for x
    x = 89,571,586,046.27/193,987.75
  6. Step 6: Final answer
    x = 461,738.36

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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.