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Finding the Third Proportional to 171,993 and 260,584.50

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Solution

The third proportional to 171,993 and 260,584.50 is: 394,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,993 : 260,584.50 = 260,584.50 : x
  2. Step 2: Convert to fraction form
    171,993/260,584.50 = 260,584.50/x
  3. Step 3: Cross multiply
    171,993x = 260,584.50 × 260,584.50
  4. Step 4: Simplify right side
    171,993x = 67,904,281,640.25
  5. Step 5: Solve for x
    x = 67,904,281,640.25/171,993
  6. Step 6: Final answer
    x = 394,808.40

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.