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Finding the Third Proportional to 199,268 and 304,686

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Solution

The third proportional to 199,268 and 304,686 is: 465,872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,268 : 304,686 = 304,686 : x
  2. Step 2: Convert to fraction form
    199,268/304,686 = 304,686/x
  3. Step 3: Cross multiply
    199,268x = 304,686 × 304,686
  4. Step 4: Simplify right side
    199,268x = 92,833,558,596
  5. Step 5: Solve for x
    x = 92,833,558,596/199,268
  6. Step 6: Final answer
    x = 465,872.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.