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Finding the Third Proportional to 170,635 and 367,028

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Solution

The third proportional to 170,635 and 367,028 is: 789,460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,635 : 367,028 = 367,028 : x
  2. Step 2: Convert to fraction form
    170,635/367,028 = 367,028/x
  3. Step 3: Cross multiply
    170,635x = 367,028 × 367,028
  4. Step 4: Simplify right side
    170,635x = 134,709,552,784
  5. Step 5: Solve for x
    x = 134,709,552,784/170,635
  6. Step 6: Final answer
    x = 789,460.27

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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.