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Finding the Third Proportional to 134,092 and 198,818

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Solution

The third proportional to 134,092 and 198,818 is: 294,787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,092 : 198,818 = 198,818 : x
  2. Step 2: Convert to fraction form
    134,092/198,818 = 198,818/x
  3. Step 3: Cross multiply
    134,092x = 198,818 × 198,818
  4. Step 4: Simplify right side
    134,092x = 39,528,597,124
  5. Step 5: Solve for x
    x = 39,528,597,124/134,092
  6. Step 6: Final answer
    x = 294,787.14

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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.