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Finding the Third Proportional to 182,058 and 372,864

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Solution

The third proportional to 182,058 and 372,864 is: 763,644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,058 : 372,864 = 372,864 : x
  2. Step 2: Convert to fraction form
    182,058/372,864 = 372,864/x
  3. Step 3: Cross multiply
    182,058x = 372,864 × 372,864
  4. Step 4: Simplify right side
    182,058x = 139,027,562,496
  5. Step 5: Solve for x
    x = 139,027,562,496/182,058
  6. Step 6: Final answer
    x = 763,644.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.