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Finding the Third Proportional to 163,336.50 and 351,702

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Solution

The third proportional to 163,336.50 and 351,702 is: 757,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,336.50 : 351,702 = 351,702 : x
  2. Step 2: Convert to fraction form
    163,336.50/351,702 = 351,702/x
  3. Step 3: Cross multiply
    163,336.50x = 351,702 × 351,702
  4. Step 4: Simplify right side
    163,336.50x = 123,694,296,804
  5. Step 5: Solve for x
    x = 123,694,296,804/163,336.50
  6. Step 6: Final answer
    x = 757,297.34

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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.