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Finding the Third Proportional to 148,219.50 and 324,546

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Solution

The third proportional to 148,219.50 and 324,546 is: 710,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,219.50 : 324,546 = 324,546 : x
  2. Step 2: Convert to fraction form
    148,219.50/324,546 = 324,546/x
  3. Step 3: Cross multiply
    148,219.50x = 324,546 × 324,546
  4. Step 4: Simplify right side
    148,219.50x = 105,330,106,116
  5. Step 5: Solve for x
    x = 105,330,106,116/148,219.50
  6. Step 6: Final answer
    x = 710,635.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.