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Finding the Third Proportional to 198,148 and 306,942

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Solution

The third proportional to 198,148 and 306,942 is: 475,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,148 : 306,942 = 306,942 : x
  2. Step 2: Convert to fraction form
    198,148/306,942 = 306,942/x
  3. Step 3: Cross multiply
    198,148x = 306,942 × 306,942
  4. Step 4: Simplify right side
    198,148x = 94,213,391,364
  5. Step 5: Solve for x
    x = 94,213,391,364/198,148
  6. Step 6: Final answer
    x = 475,469.81

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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.