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Finding the Third Proportional to 123,434.44 and 184,344.19

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Solution

The third proportional to 123,434.44 and 184,344.19 is: 275,310.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,434.44 : 184,344.19 = 184,344.19 : x
  2. Step 2: Convert to fraction form
    123,434.44/184,344.19 = 184,344.19/x
  3. Step 3: Cross multiply
    123,434.44x = 184,344.19 × 184,344.19
  4. Step 4: Simplify right side
    123,434.44x = 33,982,779,465.04
  5. Step 5: Solve for x
    x = 33,982,779,465.04/123,434.44
  6. Step 6: Final answer
    x = 275,310.36

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Why These Related Problems?

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