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Finding the Third Proportional to 179,190.75 and 384,946.25

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Solution

The third proportional to 179,190.75 and 384,946.25 is: 826,960.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,190.75 : 384,946.25 = 384,946.25 : x
  2. Step 2: Convert to fraction form
    179,190.75/384,946.25 = 384,946.25/x
  3. Step 3: Cross multiply
    179,190.75x = 384,946.25 × 384,946.25
  4. Step 4: Simplify right side
    179,190.75x = 148,183,615,389.06
  5. Step 5: Solve for x
    x = 148,183,615,389.06/179,190.75
  6. Step 6: Final answer
    x = 826,960.18

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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.