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Finding the Third Proportional to 182,052 and 372,852

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Solution

The third proportional to 182,052 and 372,852 is: 763,620.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,052 : 372,852 = 372,852 : x
  2. Step 2: Convert to fraction form
    182,052/372,852 = 372,852/x
  3. Step 3: Cross multiply
    182,052x = 372,852 × 372,852
  4. Step 4: Simplify right side
    182,052x = 139,018,613,904
  5. Step 5: Solve for x
    x = 139,018,613,904/182,052
  6. Step 6: Final answer
    x = 763,620.36

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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.