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Finding the Third Proportional to 162,681.50 and 333,290.75

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Solution

The third proportional to 162,681.50 and 333,290.75 is: 682,823.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,681.50 : 333,290.75 = 333,290.75 : x
  2. Step 2: Convert to fraction form
    162,681.50/333,290.75 = 333,290.75/x
  3. Step 3: Cross multiply
    162,681.50x = 333,290.75 × 333,290.75
  4. Step 4: Simplify right side
    162,681.50x = 111,082,724,035.56
  5. Step 5: Solve for x
    x = 111,082,724,035.56/162,681.50
  6. Step 6: Final answer
    x = 682,823.33

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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.