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Finding the Third Proportional to 197,008 and 384,170

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Solution

The third proportional to 197,008 and 384,170 is: 749,140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,008 : 384,170 = 384,170 : x
  2. Step 2: Convert to fraction form
    197,008/384,170 = 384,170/x
  3. Step 3: Cross multiply
    197,008x = 384,170 × 384,170
  4. Step 4: Simplify right side
    197,008x = 147,586,588,900
  5. Step 5: Solve for x
    x = 147,586,588,900/197,008
  6. Step 6: Final answer
    x = 749,140.08

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.