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Finding the Third Proportional to 170,644.50 and 367,452

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Solution

The third proportional to 170,644.50 and 367,452 is: 791,241.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,644.50 : 367,452 = 367,452 : x
  2. Step 2: Convert to fraction form
    170,644.50/367,452 = 367,452/x
  3. Step 3: Cross multiply
    170,644.50x = 367,452 × 367,452
  4. Step 4: Simplify right side
    170,644.50x = 135,020,972,304
  5. Step 5: Solve for x
    x = 135,020,972,304/170,644.50
  6. Step 6: Final answer
    x = 791,241.28

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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.