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Finding the Third Proportional to 190,378 and 252,710

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Solution

The third proportional to 190,378 and 252,710 is: 335,450.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,378 : 252,710 = 252,710 : x
  2. Step 2: Convert to fraction form
    190,378/252,710 = 252,710/x
  3. Step 3: Cross multiply
    190,378x = 252,710 × 252,710
  4. Step 4: Simplify right side
    190,378x = 63,862,344,100
  5. Step 5: Solve for x
    x = 63,862,344,100/190,378
  6. Step 6: Final answer
    x = 335,450.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.