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Finding the Third Proportional to 217,867 and 333,071

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Solution

The third proportional to 217,867 and 333,071 is: 509,192.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,867 : 333,071 = 333,071 : x
  2. Step 2: Convert to fraction form
    217,867/333,071 = 333,071/x
  3. Step 3: Cross multiply
    217,867x = 333,071 × 333,071
  4. Step 4: Simplify right side
    217,867x = 110,936,291,041
  5. Step 5: Solve for x
    x = 110,936,291,041/217,867
  6. Step 6: Final answer
    x = 509,192.72

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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.