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Finding the Third Proportional to 201,599 and 303,958

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Solution

The third proportional to 201,599 and 303,958 is: 458,288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,599 : 303,958 = 303,958 : x
  2. Step 2: Convert to fraction form
    201,599/303,958 = 303,958/x
  3. Step 3: Cross multiply
    201,599x = 303,958 × 303,958
  4. Step 4: Simplify right side
    201,599x = 92,390,465,764
  5. Step 5: Solve for x
    x = 92,390,465,764/201,599
  6. Step 6: Final answer
    x = 458,288.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.