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Finding the Third Proportional to 170,665 and 367,089

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Solution

The third proportional to 170,665 and 367,089 is: 789,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,665 : 367,089 = 367,089 : x
  2. Step 2: Convert to fraction form
    170,665/367,089 = 367,089/x
  3. Step 3: Cross multiply
    170,665x = 367,089 × 367,089
  4. Step 4: Simplify right side
    170,665x = 134,754,333,921
  5. Step 5: Solve for x
    x = 134,754,333,921/170,665
  6. Step 6: Final answer
    x = 789,583.89

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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.