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Finding the Third Proportional to 174,992 and 258,798

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Solution

The third proportional to 174,992 and 258,798 is: 382,739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,992 : 258,798 = 258,798 : x
  2. Step 2: Convert to fraction form
    174,992/258,798 = 258,798/x
  3. Step 3: Cross multiply
    174,992x = 258,798 × 258,798
  4. Step 4: Simplify right side
    174,992x = 66,976,404,804
  5. Step 5: Solve for x
    x = 66,976,404,804/174,992
  6. Step 6: Final answer
    x = 382,739.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.