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Finding the Third Proportional to 197,811 and 314,496

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Solution

The third proportional to 197,811 and 314,496 is: 500,011.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,811 : 314,496 = 314,496 : x
  2. Step 2: Convert to fraction form
    197,811/314,496 = 314,496/x
  3. Step 3: Cross multiply
    197,811x = 314,496 × 314,496
  4. Step 4: Simplify right side
    197,811x = 98,907,734,016
  5. Step 5: Solve for x
    x = 98,907,734,016/197,811
  6. Step 6: Final answer
    x = 500,011.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.