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Finding the Third Proportional to 160,242 and 251,361

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Solution

The third proportional to 160,242 and 251,361 is: 394,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,242 : 251,361 = 251,361 : x
  2. Step 2: Convert to fraction form
    160,242/251,361 = 251,361/x
  3. Step 3: Cross multiply
    160,242x = 251,361 × 251,361
  4. Step 4: Simplify right side
    160,242x = 63,182,352,321
  5. Step 5: Solve for x
    x = 63,182,352,321/160,242
  6. Step 6: Final answer
    x = 394,293.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.