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Finding the Third Proportional to 78,394.50 and 160,947

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Solution

The third proportional to 78,394.50 and 160,947 is: 330,430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,394.50 : 160,947 = 160,947 : x
  2. Step 2: Convert to fraction form
    78,394.50/160,947 = 160,947/x
  3. Step 3: Cross multiply
    78,394.50x = 160,947 × 160,947
  4. Step 4: Simplify right side
    78,394.50x = 25,903,936,809
  5. Step 5: Solve for x
    x = 25,903,936,809/78,394.50
  6. Step 6: Final answer
    x = 330,430.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.