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Finding the Third Proportional to 123,442 and 184,352

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Solution

The third proportional to 123,442 and 184,352 is: 275,316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,442 : 184,352 = 184,352 : x
  2. Step 2: Convert to fraction form
    123,442/184,352 = 184,352/x
  3. Step 3: Cross multiply
    123,442x = 184,352 × 184,352
  4. Step 4: Simplify right side
    123,442x = 33,985,659,904
  5. Step 5: Solve for x
    x = 33,985,659,904/123,442
  6. Step 6: Final answer
    x = 275,316.83

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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.