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Finding the Third Proportional to 190,078 and 265,741

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Solution

The third proportional to 190,078 and 265,741 is: 371,522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,078 : 265,741 = 265,741 : x
  2. Step 2: Convert to fraction form
    190,078/265,741 = 265,741/x
  3. Step 3: Cross multiply
    190,078x = 265,741 × 265,741
  4. Step 4: Simplify right side
    190,078x = 70,618,279,081
  5. Step 5: Solve for x
    x = 70,618,279,081/190,078
  6. Step 6: Final answer
    x = 371,522.63

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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.