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Finding the Third Proportional to 78,336.50 and 160,820

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Solution

The third proportional to 78,336.50 and 160,820 is: 330,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,336.50 : 160,820 = 160,820 : x
  2. Step 2: Convert to fraction form
    78,336.50/160,820 = 160,820/x
  3. Step 3: Cross multiply
    78,336.50x = 160,820 × 160,820
  4. Step 4: Simplify right side
    78,336.50x = 25,863,072,400
  5. Step 5: Solve for x
    x = 25,863,072,400/78,336.50
  6. Step 6: Final answer
    x = 330,153.54

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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.