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Finding the Third Proportional to 76,904 and 168,384

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Solution

The third proportional to 76,904 and 168,384 is: 368,682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,904 : 168,384 = 168,384 : x
  2. Step 2: Convert to fraction form
    76,904/168,384 = 168,384/x
  3. Step 3: Cross multiply
    76,904x = 168,384 × 168,384
  4. Step 4: Simplify right side
    76,904x = 28,353,171,456
  5. Step 5: Solve for x
    x = 28,353,171,456/76,904
  6. Step 6: Final answer
    x = 368,682.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.