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Finding the Third Proportional to 170,635.50 and 367,434

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Solution

The third proportional to 170,635.50 and 367,434 is: 791,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,635.50 : 367,434 = 367,434 : x
  2. Step 2: Convert to fraction form
    170,635.50/367,434 = 367,434/x
  3. Step 3: Cross multiply
    170,635.50x = 367,434 × 367,434
  4. Step 4: Simplify right side
    170,635.50x = 135,007,744,356
  5. Step 5: Solve for x
    x = 135,007,744,356/170,635.50
  6. Step 6: Final answer
    x = 791,205.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.