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Finding the Third Proportional to 189,604 and 405,452

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Solution

The third proportional to 189,604 and 405,452 is: 867,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,604 : 405,452 = 405,452 : x
  2. Step 2: Convert to fraction form
    189,604/405,452 = 405,452/x
  3. Step 3: Cross multiply
    189,604x = 405,452 × 405,452
  4. Step 4: Simplify right side
    189,604x = 164,391,324,304
  5. Step 5: Solve for x
    x = 164,391,324,304/189,604
  6. Step 6: Final answer
    x = 867,024.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.