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Finding the Third Proportional to 155,175.75 and 326,004.75

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Solution

The third proportional to 155,175.75 and 326,004.75 is: 684,895.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,175.75 : 326,004.75 = 326,004.75 : x
  2. Step 2: Convert to fraction form
    155,175.75/326,004.75 = 326,004.75/x
  3. Step 3: Cross multiply
    155,175.75x = 326,004.75 × 326,004.75
  4. Step 4: Simplify right side
    155,175.75x = 106,279,097,022.56
  5. Step 5: Solve for x
    x = 106,279,097,022.56/155,175.75
  6. Step 6: Final answer
    x = 684,895.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.