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Finding the Third Proportional to 148,530 and 320,735

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Solution

The third proportional to 148,530 and 320,735 is: 692,593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,530 : 320,735 = 320,735 : x
  2. Step 2: Convert to fraction form
    148,530/320,735 = 320,735/x
  3. Step 3: Cross multiply
    148,530x = 320,735 × 320,735
  4. Step 4: Simplify right side
    148,530x = 102,870,940,225
  5. Step 5: Solve for x
    x = 102,870,940,225/148,530
  6. Step 6: Final answer
    x = 692,593.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.