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Finding the Third Proportional to 184,380.05 and 265,663.55

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Solution

The third proportional to 184,380.05 and 265,663.55 is: 382,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,380.05 : 265,663.55 = 265,663.55 : x
  2. Step 2: Convert to fraction form
    184,380.05/265,663.55 = 265,663.55/x
  3. Step 3: Cross multiply
    184,380.05x = 265,663.55 × 265,663.55
  4. Step 4: Simplify right side
    184,380.05x = 70,577,120,138.21
  5. Step 5: Solve for x
    x = 70,577,120,138.21/184,380.05
  6. Step 6: Final answer
    x = 382,780.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.