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Finding the Third Proportional to 182,055 and 372,858

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Solution

The third proportional to 182,055 and 372,858 is: 763,632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,055 : 372,858 = 372,858 : x
  2. Step 2: Convert to fraction form
    182,055/372,858 = 372,858/x
  3. Step 3: Cross multiply
    182,055x = 372,858 × 372,858
  4. Step 4: Simplify right side
    182,055x = 139,023,088,164
  5. Step 5: Solve for x
    x = 139,023,088,164/182,055
  6. Step 6: Final answer
    x = 763,632.35

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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.