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Finding the Third Proportional to 192,295.50 and 298,525.50

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Solution

The third proportional to 192,295.50 and 298,525.50 is: 463,440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,295.50 : 298,525.50 = 298,525.50 : x
  2. Step 2: Convert to fraction form
    192,295.50/298,525.50 = 298,525.50/x
  3. Step 3: Cross multiply
    192,295.50x = 298,525.50 × 298,525.50
  4. Step 4: Simplify right side
    192,295.50x = 89,117,474,150.25
  5. Step 5: Solve for x
    x = 89,117,474,150.25/192,295.50
  6. Step 6: Final answer
    x = 463,440.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.