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Finding the Third Proportional to 197,300 and 309,172

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Solution

The third proportional to 197,300 and 309,172 is: 484,477.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,300 : 309,172 = 309,172 : x
  2. Step 2: Convert to fraction form
    197,300/309,172 = 309,172/x
  3. Step 3: Cross multiply
    197,300x = 309,172 × 309,172
  4. Step 4: Simplify right side
    197,300x = 95,587,325,584
  5. Step 5: Solve for x
    x = 95,587,325,584/197,300
  6. Step 6: Final answer
    x = 484,477.07

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