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Finding the Third Proportional to 179,022 and 389,998.50

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Solution

The third proportional to 179,022 and 389,998.50 is: 849,609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,022 : 389,998.50 = 389,998.50 : x
  2. Step 2: Convert to fraction form
    179,022/389,998.50 = 389,998.50/x
  3. Step 3: Cross multiply
    179,022x = 389,998.50 × 389,998.50
  4. Step 4: Simplify right side
    179,022x = 152,098,830,002.25
  5. Step 5: Solve for x
    x = 152,098,830,002.25/179,022
  6. Step 6: Final answer
    x = 849,609.71

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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.