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Finding the Third Proportional to 182,260 and 376,504

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Solution

The third proportional to 182,260 and 376,504 is: 777,763.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,260 : 376,504 = 376,504 : x
  2. Step 2: Convert to fraction form
    182,260/376,504 = 376,504/x
  3. Step 3: Cross multiply
    182,260x = 376,504 × 376,504
  4. Step 4: Simplify right side
    182,260x = 141,755,262,016
  5. Step 5: Solve for x
    x = 141,755,262,016/182,260
  6. Step 6: Final answer
    x = 777,763.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.