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Finding the Third Proportional to 190,533 and 402,450

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Solution

The third proportional to 190,533 and 402,450 is: 850,067.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,533 : 402,450 = 402,450 : x
  2. Step 2: Convert to fraction form
    190,533/402,450 = 402,450/x
  3. Step 3: Cross multiply
    190,533x = 402,450 × 402,450
  4. Step 4: Simplify right side
    190,533x = 161,966,002,500
  5. Step 5: Solve for x
    x = 161,966,002,500/190,533
  6. Step 6: Final answer
    x = 850,067.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.