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Finding the Third Proportional to 171,389 and 371,380.50

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Solution

The third proportional to 171,389 and 371,380.50 is: 804,739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,389 : 371,380.50 = 371,380.50 : x
  2. Step 2: Convert to fraction form
    171,389/371,380.50 = 371,380.50/x
  3. Step 3: Cross multiply
    171,389x = 371,380.50 × 371,380.50
  4. Step 4: Simplify right side
    171,389x = 137,923,475,780.25
  5. Step 5: Solve for x
    x = 137,923,475,780.25/171,389
  6. Step 6: Final answer
    x = 804,739.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.