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Finding the Third Proportional to 159,401 and 235,456

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Solution

The third proportional to 159,401 and 235,456 is: 347,799.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,401 : 235,456 = 235,456 : x
  2. Step 2: Convert to fraction form
    159,401/235,456 = 235,456/x
  3. Step 3: Cross multiply
    159,401x = 235,456 × 235,456
  4. Step 4: Simplify right side
    159,401x = 55,439,527,936
  5. Step 5: Solve for x
    x = 55,439,527,936/159,401
  6. Step 6: Final answer
    x = 347,799.12

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.