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Finding the Third Proportional to 171,034 and 395,900.50

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Solution

The third proportional to 171,034 and 395,900.50 is: 916,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,034 : 395,900.50 = 395,900.50 : x
  2. Step 2: Convert to fraction form
    171,034/395,900.50 = 395,900.50/x
  3. Step 3: Cross multiply
    171,034x = 395,900.50 × 395,900.50
  4. Step 4: Simplify right side
    171,034x = 156,737,205,900.25
  5. Step 5: Solve for x
    x = 156,737,205,900.25/171,034
  6. Step 6: Final answer
    x = 916,409.64

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.