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Finding the Third Proportional to 163,361 and 351,752

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Solution

The third proportional to 163,361 and 351,752 is: 757,399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,361 : 351,752 = 351,752 : x
  2. Step 2: Convert to fraction form
    163,361/351,752 = 351,752/x
  3. Step 3: Cross multiply
    163,361x = 351,752 × 351,752
  4. Step 4: Simplify right side
    163,361x = 123,729,469,504
  5. Step 5: Solve for x
    x = 123,729,469,504/163,361
  6. Step 6: Final answer
    x = 757,399.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.