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Finding the Third Proportional to 184,272 and 288,744

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Solution

The third proportional to 184,272 and 288,744 is: 452,445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,272 : 288,744 = 288,744 : x
  2. Step 2: Convert to fraction form
    184,272/288,744 = 288,744/x
  3. Step 3: Cross multiply
    184,272x = 288,744 × 288,744
  4. Step 4: Simplify right side
    184,272x = 83,373,097,536
  5. Step 5: Solve for x
    x = 83,373,097,536/184,272
  6. Step 6: Final answer
    x = 452,445.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.