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Finding the Third Proportional to 170,639 and 367,034

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Solution

The third proportional to 170,639 and 367,034 is: 789,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,639 : 367,034 = 367,034 : x
  2. Step 2: Convert to fraction form
    170,639/367,034 = 367,034/x
  3. Step 3: Cross multiply
    170,639x = 367,034 × 367,034
  4. Step 4: Simplify right side
    170,639x = 134,713,957,156
  5. Step 5: Solve for x
    x = 134,713,957,156/170,639
  6. Step 6: Final answer
    x = 789,467.57

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Why These Related Problems?

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