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Finding the Third Proportional to 190,728 and 258,736.50

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Solution

The third proportional to 190,728 and 258,736.50 is: 350,995.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,728 : 258,736.50 = 258,736.50 : x
  2. Step 2: Convert to fraction form
    190,728/258,736.50 = 258,736.50/x
  3. Step 3: Cross multiply
    190,728x = 258,736.50 × 258,736.50
  4. Step 4: Simplify right side
    190,728x = 66,944,576,432.25
  5. Step 5: Solve for x
    x = 66,944,576,432.25/190,728
  6. Step 6: Final answer
    x = 350,995.01

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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.