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Finding the Third Proportional to 168,694 and 254,152

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Solution

The third proportional to 168,694 and 254,152 is: 382,901.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,694 : 254,152 = 254,152 : x
  2. Step 2: Convert to fraction form
    168,694/254,152 = 254,152/x
  3. Step 3: Cross multiply
    168,694x = 254,152 × 254,152
  4. Step 4: Simplify right side
    168,694x = 64,593,239,104
  5. Step 5: Solve for x
    x = 64,593,239,104/168,694
  6. Step 6: Final answer
    x = 382,901.82

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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.