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Finding the Third Proportional to 168,520 and 253,848

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Solution

The third proportional to 168,520 and 253,848 is: 382,380.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,520 : 253,848 = 253,848 : x
  2. Step 2: Convert to fraction form
    168,520/253,848 = 253,848/x
  3. Step 3: Cross multiply
    168,520x = 253,848 × 253,848
  4. Step 4: Simplify right side
    168,520x = 64,438,807,104
  5. Step 5: Solve for x
    x = 64,438,807,104/168,520
  6. Step 6: Final answer
    x = 382,380.77

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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.