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Finding the Third Proportional to 197,329.50 and 427,923

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Solution

The third proportional to 197,329.50 and 427,923 is: 927,981.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,329.50 : 427,923 = 427,923 : x
  2. Step 2: Convert to fraction form
    197,329.50/427,923 = 427,923/x
  3. Step 3: Cross multiply
    197,329.50x = 427,923 × 427,923
  4. Step 4: Simplify right side
    197,329.50x = 183,118,093,929
  5. Step 5: Solve for x
    x = 183,118,093,929/197,329.50
  6. Step 6: Final answer
    x = 927,981.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.