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Finding the Third Proportional to 146,826 and 320,292

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Solution

The third proportional to 146,826 and 320,292 is: 698,697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,826 : 320,292 = 320,292 : x
  2. Step 2: Convert to fraction form
    146,826/320,292 = 320,292/x
  3. Step 3: Cross multiply
    146,826x = 320,292 × 320,292
  4. Step 4: Simplify right side
    146,826x = 102,586,965,264
  5. Step 5: Solve for x
    x = 102,586,965,264/146,826
  6. Step 6: Final answer
    x = 698,697.54

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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.