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Finding the Third Proportional to 190,922 and 259,167

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Solution

The third proportional to 190,922 and 259,167 is: 351,806.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,922 : 259,167 = 259,167 : x
  2. Step 2: Convert to fraction form
    190,922/259,167 = 259,167/x
  3. Step 3: Cross multiply
    190,922x = 259,167 × 259,167
  4. Step 4: Simplify right side
    190,922x = 67,167,533,889
  5. Step 5: Solve for x
    x = 67,167,533,889/190,922
  6. Step 6: Final answer
    x = 351,806.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.