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Finding the Third Proportional to 193,368 and 298,802

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Solution

The third proportional to 193,368 and 298,802 is: 461,723.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,368 : 298,802 = 298,802 : x
  2. Step 2: Convert to fraction form
    193,368/298,802 = 298,802/x
  3. Step 3: Cross multiply
    193,368x = 298,802 × 298,802
  4. Step 4: Simplify right side
    193,368x = 89,282,635,204
  5. Step 5: Solve for x
    x = 89,282,635,204/193,368
  6. Step 6: Final answer
    x = 461,723.94

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