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Finding the Third Proportional to 190,124 and 265,821

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Solution

The third proportional to 190,124 and 265,821 is: 371,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,124 : 265,821 = 265,821 : x
  2. Step 2: Convert to fraction form
    190,124/265,821 = 265,821/x
  3. Step 3: Cross multiply
    190,124x = 265,821 × 265,821
  4. Step 4: Simplify right side
    190,124x = 70,660,804,041
  5. Step 5: Solve for x
    x = 70,660,804,041/190,124
  6. Step 6: Final answer
    x = 371,656.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.