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Finding the Third Proportional to 182,074.39 and 275,641.26

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Solution

The third proportional to 182,074.39 and 275,641.26 is: 417,291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,074.39 : 275,641.26 = 275,641.26 : x
  2. Step 2: Convert to fraction form
    182,074.39/275,641.26 = 275,641.26/x
  3. Step 3: Cross multiply
    182,074.39x = 275,641.26 × 275,641.26
  4. Step 4: Simplify right side
    182,074.39x = 75,978,104,085.18
  5. Step 5: Solve for x
    x = 75,978,104,085.18/182,074.39
  6. Step 6: Final answer
    x = 417,291.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.