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Finding the Third Proportional to 159,194 and 248,475

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Solution

The third proportional to 159,194 and 248,475 is: 387,827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,194 : 248,475 = 248,475 : x
  2. Step 2: Convert to fraction form
    159,194/248,475 = 248,475/x
  3. Step 3: Cross multiply
    159,194x = 248,475 × 248,475
  4. Step 4: Simplify right side
    159,194x = 61,739,825,625
  5. Step 5: Solve for x
    x = 61,739,825,625/159,194
  6. Step 6: Final answer
    x = 387,827.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.