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Finding the Third Proportional to 182,058 and 278,631

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Solution

The third proportional to 182,058 and 278,631 is: 426,431.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,058 : 278,631 = 278,631 : x
  2. Step 2: Convert to fraction form
    182,058/278,631 = 278,631/x
  3. Step 3: Cross multiply
    182,058x = 278,631 × 278,631
  4. Step 4: Simplify right side
    182,058x = 77,635,234,161
  5. Step 5: Solve for x
    x = 77,635,234,161/182,058
  6. Step 6: Final answer
    x = 426,431.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.