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Finding the Third Proportional to 182,272.78 and 376,201.97

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Solution

The third proportional to 182,272.78 and 376,201.97 is: 776,462.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,272.78 : 376,201.97 = 376,201.97 : x
  2. Step 2: Convert to fraction form
    182,272.78/376,201.97 = 376,201.97/x
  3. Step 3: Cross multiply
    182,272.78x = 376,201.97 × 376,201.97
  4. Step 4: Simplify right side
    182,272.78x = 141,527,921,291.38
  5. Step 5: Solve for x
    x = 141,527,921,291.38/182,272.78
  6. Step 6: Final answer
    x = 776,462.18

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.