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Finding the Third Proportional to 190,975.50 and 445,927.50

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Solution

The third proportional to 190,975.50 and 445,927.50 is: 1,041,240.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,975.50 : 445,927.50 = 445,927.50 : x
  2. Step 2: Convert to fraction form
    190,975.50/445,927.50 = 445,927.50/x
  3. Step 3: Cross multiply
    190,975.50x = 445,927.50 × 445,927.50
  4. Step 4: Simplify right side
    190,975.50x = 198,851,335,256.25
  5. Step 5: Solve for x
    x = 198,851,335,256.25/190,975.50
  6. Step 6: Final answer
    x = 1,041,240.03

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.