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Finding the Third Proportional to 119,133 and 261,958

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Solution

The third proportional to 119,133 and 261,958 is: 576,011.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,133 : 261,958 = 261,958 : x
  2. Step 2: Convert to fraction form
    119,133/261,958 = 261,958/x
  3. Step 3: Cross multiply
    119,133x = 261,958 × 261,958
  4. Step 4: Simplify right side
    119,133x = 68,621,993,764
  5. Step 5: Solve for x
    x = 68,621,993,764/119,133
  6. Step 6: Final answer
    x = 576,011.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.