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Finding the Third Proportional to 168,565 and 362,144

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Solution

The third proportional to 168,565 and 362,144 is: 778,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,565 : 362,144 = 362,144 : x
  2. Step 2: Convert to fraction form
    168,565/362,144 = 362,144/x
  3. Step 3: Cross multiply
    168,565x = 362,144 × 362,144
  4. Step 4: Simplify right side
    168,565x = 131,148,276,736
  5. Step 5: Solve for x
    x = 131,148,276,736/168,565
  6. Step 6: Final answer
    x = 778,027.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.