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Finding the Third Proportional to 189,965 and 405,354

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Solution

The third proportional to 189,965 and 405,354 is: 864,958.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,965 : 405,354 = 405,354 : x
  2. Step 2: Convert to fraction form
    189,965/405,354 = 405,354/x
  3. Step 3: Cross multiply
    189,965x = 405,354 × 405,354
  4. Step 4: Simplify right side
    189,965x = 164,311,865,316
  5. Step 5: Solve for x
    x = 164,311,865,316/189,965
  6. Step 6: Final answer
    x = 864,958.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.