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Finding the Third Proportional to 168,626 and 254,046

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Solution

The third proportional to 168,626 and 254,046 is: 382,736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,626 : 254,046 = 254,046 : x
  2. Step 2: Convert to fraction form
    168,626/254,046 = 254,046/x
  3. Step 3: Cross multiply
    168,626x = 254,046 × 254,046
  4. Step 4: Simplify right side
    168,626x = 64,539,370,116
  5. Step 5: Solve for x
    x = 64,539,370,116/168,626
  6. Step 6: Final answer
    x = 382,736.77

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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.