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Finding the Third Proportional to 189,292 and 384,145

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Solution

The third proportional to 189,292 and 384,145 is: 779,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,292 : 384,145 = 384,145 : x
  2. Step 2: Convert to fraction form
    189,292/384,145 = 384,145/x
  3. Step 3: Cross multiply
    189,292x = 384,145 × 384,145
  4. Step 4: Simplify right side
    189,292x = 147,567,381,025
  5. Step 5: Solve for x
    x = 147,567,381,025/189,292
  6. Step 6: Final answer
    x = 779,575.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.