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Finding the Third Proportional to 190,845 and 397,387.50

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Solution

The third proportional to 190,845 and 397,387.50 is: 827,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,845 : 397,387.50 = 397,387.50 : x
  2. Step 2: Convert to fraction form
    190,845/397,387.50 = 397,387.50/x
  3. Step 3: Cross multiply
    190,845x = 397,387.50 × 397,387.50
  4. Step 4: Simplify right side
    190,845x = 157,916,825,156.25
  5. Step 5: Solve for x
    x = 157,916,825,156.25/190,845
  6. Step 6: Final answer
    x = 827,461.16

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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.