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Finding the Third Proportional to 190,948.75 and 397,586.25

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Solution

The third proportional to 190,948.75 and 397,586.25 is: 827,839.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,948.75 : 397,586.25 = 397,586.25 : x
  2. Step 2: Convert to fraction form
    190,948.75/397,586.25 = 397,586.25/x
  3. Step 3: Cross multiply
    190,948.75x = 397,586.25 × 397,586.25
  4. Step 4: Simplify right side
    190,948.75x = 158,074,826,189.06
  5. Step 5: Solve for x
    x = 158,074,826,189.06/190,948.75
  6. Step 6: Final answer
    x = 827,839.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.