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Finding the Third Proportional to 184,560.19 and 263,920.78

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Solution

The third proportional to 184,560.19 and 263,920.78 is: 377,406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,560.19 : 263,920.78 = 263,920.78 : x
  2. Step 2: Convert to fraction form
    184,560.19/263,920.78 = 263,920.78/x
  3. Step 3: Cross multiply
    184,560.19x = 263,920.78 × 263,920.78
  4. Step 4: Simplify right side
    184,560.19x = 69,654,178,775.61
  5. Step 5: Solve for x
    x = 69,654,178,775.61/184,560.19
  6. Step 6: Final answer
    x = 377,406.31

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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.