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Finding the Third Proportional to 217,682 and 319,071

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Solution

The third proportional to 217,682 and 319,071 is: 467,683.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,682 : 319,071 = 319,071 : x
  2. Step 2: Convert to fraction form
    217,682/319,071 = 319,071/x
  3. Step 3: Cross multiply
    217,682x = 319,071 × 319,071
  4. Step 4: Simplify right side
    217,682x = 101,806,303,041
  5. Step 5: Solve for x
    x = 101,806,303,041/217,682
  6. Step 6: Final answer
    x = 467,683.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.