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Finding the Third Proportional to 163,993.50 and 356,418

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Solution

The third proportional to 163,993.50 and 356,418 is: 774,626.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,993.50 : 356,418 = 356,418 : x
  2. Step 2: Convert to fraction form
    163,993.50/356,418 = 356,418/x
  3. Step 3: Cross multiply
    163,993.50x = 356,418 × 356,418
  4. Step 4: Simplify right side
    163,993.50x = 127,033,790,724
  5. Step 5: Solve for x
    x = 127,033,790,724/163,993.50
  6. Step 6: Final answer
    x = 774,626.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.