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Finding the Third Proportional to 146,286 and 198,693

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Solution

The third proportional to 146,286 and 198,693 is: 269,874.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,286 : 198,693 = 198,693 : x
  2. Step 2: Convert to fraction form
    146,286/198,693 = 198,693/x
  3. Step 3: Cross multiply
    146,286x = 198,693 × 198,693
  4. Step 4: Simplify right side
    146,286x = 39,478,908,249
  5. Step 5: Solve for x
    x = 39,478,908,249/146,286
  6. Step 6: Final answer
    x = 269,874.82

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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.