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Finding the Third Proportional to 197,043.38 and 305,730.38

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Solution

The third proportional to 197,043.38 and 305,730.38 is: 474,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,043.38 : 305,730.38 = 305,730.38 : x
  2. Step 2: Convert to fraction form
    197,043.38/305,730.38 = 305,730.38/x
  3. Step 3: Cross multiply
    197,043.38x = 305,730.38 × 305,730.38
  4. Step 4: Simplify right side
    197,043.38x = 93,471,062,197.64
  5. Step 5: Solve for x
    x = 93,471,062,197.64/197,043.38
  6. Step 6: Final answer
    x = 474,367.95

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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.