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Finding the Third Proportional to 146,599.50 and 320,190

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Solution

The third proportional to 146,599.50 and 320,190 is: 699,331.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,599.50 : 320,190 = 320,190 : x
  2. Step 2: Convert to fraction form
    146,599.50/320,190 = 320,190/x
  3. Step 3: Cross multiply
    146,599.50x = 320,190 × 320,190
  4. Step 4: Simplify right side
    146,599.50x = 102,521,636,100
  5. Step 5: Solve for x
    x = 102,521,636,100/146,599.50
  6. Step 6: Final answer
    x = 699,331.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.