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Finding the Third Proportional to 170,638 and 367,033

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Solution

The third proportional to 170,638 and 367,033 is: 789,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,638 : 367,033 = 367,033 : x
  2. Step 2: Convert to fraction form
    170,638/367,033 = 367,033/x
  3. Step 3: Cross multiply
    170,638x = 367,033 × 367,033
  4. Step 4: Simplify right side
    170,638x = 134,713,223,089
  5. Step 5: Solve for x
    x = 134,713,223,089/170,638
  6. Step 6: Final answer
    x = 789,467.90

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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.