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Finding the Third Proportional to 193,370 and 298,805

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Solution

The third proportional to 193,370 and 298,805 is: 461,728.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,370 : 298,805 = 298,805 : x
  2. Step 2: Convert to fraction form
    193,370/298,805 = 298,805/x
  3. Step 3: Cross multiply
    193,370x = 298,805 × 298,805
  4. Step 4: Simplify right side
    193,370x = 89,284,428,025
  5. Step 5: Solve for x
    x = 89,284,428,025/193,370
  6. Step 6: Final answer
    x = 461,728.44

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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.