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Finding the Third Proportional to 182,289 and 285,381

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Solution

The third proportional to 182,289 and 285,381 is: 446,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,289 : 285,381 = 285,381 : x
  2. Step 2: Convert to fraction form
    182,289/285,381 = 285,381/x
  3. Step 3: Cross multiply
    182,289x = 285,381 × 285,381
  4. Step 4: Simplify right side
    182,289x = 81,442,315,161
  5. Step 5: Solve for x
    x = 81,442,315,161/182,289
  6. Step 6: Final answer
    x = 446,775.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.