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Finding the Third Proportional to 146,140 and 198,041

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Solution

The third proportional to 146,140 and 198,041 is: 268,374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,140 : 198,041 = 198,041 : x
  2. Step 2: Convert to fraction form
    146,140/198,041 = 198,041/x
  3. Step 3: Cross multiply
    146,140x = 198,041 × 198,041
  4. Step 4: Simplify right side
    146,140x = 39,220,237,681
  5. Step 5: Solve for x
    x = 39,220,237,681/146,140
  6. Step 6: Final answer
    x = 268,374.42

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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.