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Finding the Third Proportional to 134,144 and 198,894

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Solution

The third proportional to 134,144 and 198,894 is: 294,898.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,144 : 198,894 = 198,894 : x
  2. Step 2: Convert to fraction form
    134,144/198,894 = 198,894/x
  3. Step 3: Cross multiply
    134,144x = 198,894 × 198,894
  4. Step 4: Simplify right side
    134,144x = 39,558,823,236
  5. Step 5: Solve for x
    x = 39,558,823,236/134,144
  6. Step 6: Final answer
    x = 294,898.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.