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Finding the Third Proportional to 193,094 and 298,398

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Solution

The third proportional to 193,094 and 298,398 is: 461,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,094 : 298,398 = 298,398 : x
  2. Step 2: Convert to fraction form
    193,094/298,398 = 298,398/x
  3. Step 3: Cross multiply
    193,094x = 298,398 × 298,398
  4. Step 4: Simplify right side
    193,094x = 89,041,366,404
  5. Step 5: Solve for x
    x = 89,041,366,404/193,094
  6. Step 6: Final answer
    x = 461,129.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.