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Finding the Third Proportional to 155,965.50 and 336,879

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Solution

The third proportional to 155,965.50 and 336,879 is: 727,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,965.50 : 336,879 = 336,879 : x
  2. Step 2: Convert to fraction form
    155,965.50/336,879 = 336,879/x
  3. Step 3: Cross multiply
    155,965.50x = 336,879 × 336,879
  4. Step 4: Simplify right side
    155,965.50x = 113,487,460,641
  5. Step 5: Solve for x
    x = 113,487,460,641/155,965.50
  6. Step 6: Final answer
    x = 727,644.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.