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Finding the Third Proportional to 182,382 and 379,257

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Solution

The third proportional to 182,382 and 379,257 is: 788,651.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,382 : 379,257 = 379,257 : x
  2. Step 2: Convert to fraction form
    182,382/379,257 = 379,257/x
  3. Step 3: Cross multiply
    182,382x = 379,257 × 379,257
  4. Step 4: Simplify right side
    182,382x = 143,835,872,049
  5. Step 5: Solve for x
    x = 143,835,872,049/182,382
  6. Step 6: Final answer
    x = 788,651.69

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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.