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Finding the Third Proportional to 197,014.50 and 312,015.38

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Solution

The third proportional to 197,014.50 and 312,015.38 is: 494,144.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,014.50 : 312,015.38 = 312,015.38 : x
  2. Step 2: Convert to fraction form
    197,014.50/312,015.38 = 312,015.38/x
  3. Step 3: Cross multiply
    197,014.50x = 312,015.38 × 312,015.38
  4. Step 4: Simplify right side
    197,014.50x = 97,353,594,236.39
  5. Step 5: Solve for x
    x = 97,353,594,236.39/197,014.50
  6. Step 6: Final answer
    x = 494,144.31

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.