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Finding the Third Proportional to 146,845 and 320,653

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Solution

The third proportional to 146,845 and 320,653 is: 700,182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,845 : 320,653 = 320,653 : x
  2. Step 2: Convert to fraction form
    146,845/320,653 = 320,653/x
  3. Step 3: Cross multiply
    146,845x = 320,653 × 320,653
  4. Step 4: Simplify right side
    146,845x = 102,818,346,409
  5. Step 5: Solve for x
    x = 102,818,346,409/146,845
  6. Step 6: Final answer
    x = 700,182.82

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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.