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Finding the Third Proportional to 197,868 and 319,050

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Solution

The third proportional to 197,868 and 319,050 is: 514,448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,868 : 319,050 = 319,050 : x
  2. Step 2: Convert to fraction form
    197,868/319,050 = 319,050/x
  3. Step 3: Cross multiply
    197,868x = 319,050 × 319,050
  4. Step 4: Simplify right side
    197,868x = 101,792,902,500
  5. Step 5: Solve for x
    x = 101,792,902,500/197,868
  6. Step 6: Final answer
    x = 514,448.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.