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Finding the Third Proportional to 197,064 and 303,228

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Solution

The third proportional to 197,064 and 303,228 is: 466,585.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,064 : 303,228 = 303,228 : x
  2. Step 2: Convert to fraction form
    197,064/303,228 = 303,228/x
  3. Step 3: Cross multiply
    197,064x = 303,228 × 303,228
  4. Step 4: Simplify right side
    197,064x = 91,947,219,984
  5. Step 5: Solve for x
    x = 91,947,219,984/197,064
  6. Step 6: Final answer
    x = 466,585.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.