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Finding the Third Proportional to 180,317.25 and 256,299.75

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Solution

The third proportional to 180,317.25 and 256,299.75 is: 364,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,317.25 : 256,299.75 = 256,299.75 : x
  2. Step 2: Convert to fraction form
    180,317.25/256,299.75 = 256,299.75/x
  3. Step 3: Cross multiply
    180,317.25x = 256,299.75 × 256,299.75
  4. Step 4: Simplify right side
    180,317.25x = 65,689,561,850.06
  5. Step 5: Solve for x
    x = 65,689,561,850.06/180,317.25
  6. Step 6: Final answer
    x = 364,299.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.