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Finding the Third Proportional to 134,088 and 198,812

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Solution

The third proportional to 134,088 and 198,812 is: 294,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,088 : 198,812 = 198,812 : x
  2. Step 2: Convert to fraction form
    134,088/198,812 = 198,812/x
  3. Step 3: Cross multiply
    134,088x = 198,812 × 198,812
  4. Step 4: Simplify right side
    134,088x = 39,526,211,344
  5. Step 5: Solve for x
    x = 39,526,211,344/134,088
  6. Step 6: Final answer
    x = 294,778.14

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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.