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Finding the Third Proportional to 146,314 and 198,726

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Solution

The third proportional to 146,314 and 198,726 is: 269,912.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,314 : 198,726 = 198,726 : x
  2. Step 2: Convert to fraction form
    146,314/198,726 = 198,726/x
  3. Step 3: Cross multiply
    146,314x = 198,726 × 198,726
  4. Step 4: Simplify right side
    146,314x = 39,492,023,076
  5. Step 5: Solve for x
    x = 39,492,023,076/146,314
  6. Step 6: Final answer
    x = 269,912.81

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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.