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Finding the Third Proportional to 148,093 and 325,694

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Solution

The third proportional to 148,093 and 325,694 is: 716,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,093 : 325,694 = 325,694 : x
  2. Step 2: Convert to fraction form
    148,093/325,694 = 325,694/x
  3. Step 3: Cross multiply
    148,093x = 325,694 × 325,694
  4. Step 4: Simplify right side
    148,093x = 106,076,581,636
  5. Step 5: Solve for x
    x = 106,076,581,636/148,093
  6. Step 6: Final answer
    x = 716,283.56

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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.