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Finding the Third Proportional to 171,854 and 259,992.50

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Solution

The third proportional to 171,854 and 259,992.50 is: 393,334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,854 : 259,992.50 = 259,992.50 : x
  2. Step 2: Convert to fraction form
    171,854/259,992.50 = 259,992.50/x
  3. Step 3: Cross multiply
    171,854x = 259,992.50 × 259,992.50
  4. Step 4: Simplify right side
    171,854x = 67,596,100,056.25
  5. Step 5: Solve for x
    x = 67,596,100,056.25/171,854
  6. Step 6: Final answer
    x = 393,334.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.