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Finding the Third Proportional to 184,842 and 264,134.25

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Solution

The third proportional to 184,842 and 264,134.25 is: 377,440.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,842 : 264,134.25 = 264,134.25 : x
  2. Step 2: Convert to fraction form
    184,842/264,134.25 = 264,134.25/x
  3. Step 3: Cross multiply
    184,842x = 264,134.25 × 264,134.25
  4. Step 4: Simplify right side
    184,842x = 69,766,902,023.06
  5. Step 5: Solve for x
    x = 69,766,902,023.06/184,842
  6. Step 6: Final answer
    x = 377,440.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.