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Finding the Third Proportional to 146,324 and 198,741

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Solution

The third proportional to 146,324 and 198,741 is: 269,935.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,324 : 198,741 = 198,741 : x
  2. Step 2: Convert to fraction form
    146,324/198,741 = 198,741/x
  3. Step 3: Cross multiply
    146,324x = 198,741 × 198,741
  4. Step 4: Simplify right side
    146,324x = 39,497,985,081
  5. Step 5: Solve for x
    x = 39,497,985,081/146,324
  6. Step 6: Final answer
    x = 269,935.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.