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Finding the Third Proportional to 147,751 and 356,201

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Solution

The third proportional to 147,751 and 356,201 is: 858,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,751 : 356,201 = 356,201 : x
  2. Step 2: Convert to fraction form
    147,751/356,201 = 356,201/x
  3. Step 3: Cross multiply
    147,751x = 356,201 × 356,201
  4. Step 4: Simplify right side
    147,751x = 126,879,152,401
  5. Step 5: Solve for x
    x = 126,879,152,401/147,751
  6. Step 6: Final answer
    x = 858,736.34

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.