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Finding the Third Proportional to 197,042.50 and 305,729.50

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Solution

The third proportional to 197,042.50 and 305,729.50 is: 474,367.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,042.50 : 305,729.50 = 305,729.50 : x
  2. Step 2: Convert to fraction form
    197,042.50/305,729.50 = 305,729.50/x
  3. Step 3: Cross multiply
    197,042.50x = 305,729.50 × 305,729.50
  4. Step 4: Simplify right side
    197,042.50x = 93,470,527,170.25
  5. Step 5: Solve for x
    x = 93,470,527,170.25/197,042.50
  6. Step 6: Final answer
    x = 474,367.34

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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.