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Finding the Third Proportional to 189,398.25 and 384,081.75

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Solution

The third proportional to 189,398.25 and 384,081.75 is: 778,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,398.25 : 384,081.75 = 384,081.75 : x
  2. Step 2: Convert to fraction form
    189,398.25/384,081.75 = 384,081.75/x
  3. Step 3: Cross multiply
    189,398.25x = 384,081.75 × 384,081.75
  4. Step 4: Simplify right side
    189,398.25x = 147,518,790,683.06
  5. Step 5: Solve for x
    x = 147,518,790,683.06/189,398.25
  6. Step 6: Final answer
    x = 778,881.49

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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.