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Finding the Third Proportional to 134,083 and 198,805

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Solution

The third proportional to 134,083 and 198,805 is: 294,768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,083 : 198,805 = 198,805 : x
  2. Step 2: Convert to fraction form
    134,083/198,805 = 198,805/x
  3. Step 3: Cross multiply
    134,083x = 198,805 × 198,805
  4. Step 4: Simplify right side
    134,083x = 39,523,428,025
  5. Step 5: Solve for x
    x = 39,523,428,025/134,083
  6. Step 6: Final answer
    x = 294,768.37

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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.