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Finding the Third Proportional to 162,699.75 and 333,328.50

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Solution

The third proportional to 162,699.75 and 333,328.50 is: 682,901.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,699.75 : 333,328.50 = 333,328.50 : x
  2. Step 2: Convert to fraction form
    162,699.75/333,328.50 = 333,328.50/x
  3. Step 3: Cross multiply
    162,699.75x = 333,328.50 × 333,328.50
  4. Step 4: Simplify right side
    162,699.75x = 111,107,888,912.25
  5. Step 5: Solve for x
    x = 111,107,888,912.25/162,699.75
  6. Step 6: Final answer
    x = 682,901.41

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.