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Finding the Third Proportional to 148,990 and 325,834

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Solution

The third proportional to 148,990 and 325,834 is: 712,583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,990 : 325,834 = 325,834 : x
  2. Step 2: Convert to fraction form
    148,990/325,834 = 325,834/x
  3. Step 3: Cross multiply
    148,990x = 325,834 × 325,834
  4. Step 4: Simplify right side
    148,990x = 106,167,795,556
  5. Step 5: Solve for x
    x = 106,167,795,556/148,990
  6. Step 6: Final answer
    x = 712,583.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.