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Finding the Third Proportional to 85,419 and 170,736.50

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Solution

The third proportional to 85,419 and 170,736.50 is: 341,270.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,419 : 170,736.50 = 170,736.50 : x
  2. Step 2: Convert to fraction form
    85,419/170,736.50 = 170,736.50/x
  3. Step 3: Cross multiply
    85,419x = 170,736.50 × 170,736.50
  4. Step 4: Simplify right side
    85,419x = 29,150,952,432.25
  5. Step 5: Solve for x
    x = 29,150,952,432.25/85,419
  6. Step 6: Final answer
    x = 341,270.12

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.