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Finding the Third Proportional to 197,116 and 308,861

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Solution

The third proportional to 197,116 and 308,861 is: 483,954.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,116 : 308,861 = 308,861 : x
  2. Step 2: Convert to fraction form
    197,116/308,861 = 308,861/x
  3. Step 3: Cross multiply
    197,116x = 308,861 × 308,861
  4. Step 4: Simplify right side
    197,116x = 95,395,117,321
  5. Step 5: Solve for x
    x = 95,395,117,321/197,116
  6. Step 6: Final answer
    x = 483,954.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.