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Finding the Third Proportional to 182,048 and 373,168

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Solution

The third proportional to 182,048 and 373,168 is: 764,932.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,048 : 373,168 = 373,168 : x
  2. Step 2: Convert to fraction form
    182,048/373,168 = 373,168/x
  3. Step 3: Cross multiply
    182,048x = 373,168 × 373,168
  4. Step 4: Simplify right side
    182,048x = 139,254,356,224
  5. Step 5: Solve for x
    x = 139,254,356,224/182,048
  6. Step 6: Final answer
    x = 764,932.09

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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.