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Finding the Third Proportional to 170,646 and 367,050

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Solution

The third proportional to 170,646 and 367,050 is: 789,504.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,646 : 367,050 = 367,050 : x
  2. Step 2: Convert to fraction form
    170,646/367,050 = 367,050/x
  3. Step 3: Cross multiply
    170,646x = 367,050 × 367,050
  4. Step 4: Simplify right side
    170,646x = 134,725,702,500
  5. Step 5: Solve for x
    x = 134,725,702,500/170,646
  6. Step 6: Final answer
    x = 789,504.02

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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.