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Finding the Third Proportional to 146,823 and 320,612

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Solution

The third proportional to 146,823 and 320,612 is: 700,108.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,823 : 320,612 = 320,612 : x
  2. Step 2: Convert to fraction form
    146,823/320,612 = 320,612/x
  3. Step 3: Cross multiply
    146,823x = 320,612 × 320,612
  4. Step 4: Simplify right side
    146,823x = 102,792,054,544
  5. Step 5: Solve for x
    x = 102,792,054,544/146,823
  6. Step 6: Final answer
    x = 700,108.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.