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Finding the Third Proportional to 182,384 and 379,261

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Solution

The third proportional to 182,384 and 379,261 is: 788,659.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,384 : 379,261 = 379,261 : x
  2. Step 2: Convert to fraction form
    182,384/379,261 = 379,261/x
  3. Step 3: Cross multiply
    182,384x = 379,261 × 379,261
  4. Step 4: Simplify right side
    182,384x = 143,838,906,121
  5. Step 5: Solve for x
    x = 143,838,906,121/182,384
  6. Step 6: Final answer
    x = 788,659.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.