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Finding the Third Proportional to 194,610.75 and 248,672.25

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Solution

The third proportional to 194,610.75 and 248,672.25 is: 317,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,610.75 : 248,672.25 = 248,672.25 : x
  2. Step 2: Convert to fraction form
    194,610.75/248,672.25 = 248,672.25/x
  3. Step 3: Cross multiply
    194,610.75x = 248,672.25 × 248,672.25
  4. Step 4: Simplify right side
    194,610.75x = 61,837,887,920.06
  5. Step 5: Solve for x
    x = 61,837,887,920.06/194,610.75
  6. Step 6: Final answer
    x = 317,751.66

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.