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Finding the Third Proportional to 146,144 and 198,047

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Solution

The third proportional to 146,144 and 198,047 is: 268,383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,144 : 198,047 = 198,047 : x
  2. Step 2: Convert to fraction form
    146,144/198,047 = 198,047/x
  3. Step 3: Cross multiply
    146,144x = 198,047 × 198,047
  4. Step 4: Simplify right side
    146,144x = 39,222,614,209
  5. Step 5: Solve for x
    x = 39,222,614,209/146,144
  6. Step 6: Final answer
    x = 268,383.34

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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.