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Finding the Third Proportional to 148,946 and 327,956

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Solution

The third proportional to 148,946 and 327,956 is: 722,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,946 : 327,956 = 327,956 : x
  2. Step 2: Convert to fraction form
    148,946/327,956 = 327,956/x
  3. Step 3: Cross multiply
    148,946x = 327,956 × 327,956
  4. Step 4: Simplify right side
    148,946x = 107,555,137,936
  5. Step 5: Solve for x
    x = 107,555,137,936/148,946
  6. Step 6: Final answer
    x = 722,108.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.