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Finding the Third Proportional to 123,412 and 184,308

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Solution

The third proportional to 123,412 and 184,308 is: 275,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,412 : 184,308 = 184,308 : x
  2. Step 2: Convert to fraction form
    123,412/184,308 = 184,308/x
  3. Step 3: Cross multiply
    123,412x = 184,308 × 184,308
  4. Step 4: Simplify right side
    123,412x = 33,969,438,864
  5. Step 5: Solve for x
    x = 33,969,438,864/123,412
  6. Step 6: Final answer
    x = 275,252.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.