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Finding the Third Proportional to 193,517 and 298,904

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Solution

The third proportional to 193,517 and 298,904 is: 461,683.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,517 : 298,904 = 298,904 : x
  2. Step 2: Convert to fraction form
    193,517/298,904 = 298,904/x
  3. Step 3: Cross multiply
    193,517x = 298,904 × 298,904
  4. Step 4: Simplify right side
    193,517x = 89,343,601,216
  5. Step 5: Solve for x
    x = 89,343,601,216/193,517
  6. Step 6: Final answer
    x = 461,683.48

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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.