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Finding the Third Proportional to 197,422 and 317,935

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Solution

The third proportional to 197,422 and 317,935 is: 512,013.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,422 : 317,935 = 317,935 : x
  2. Step 2: Convert to fraction form
    197,422/317,935 = 317,935/x
  3. Step 3: Cross multiply
    197,422x = 317,935 × 317,935
  4. Step 4: Simplify right side
    197,422x = 101,082,664,225
  5. Step 5: Solve for x
    x = 101,082,664,225/197,422
  6. Step 6: Final answer
    x = 512,013.17

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.