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Finding the Third Proportional to 184,395.75 and 288,006.75

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Solution

The third proportional to 184,395.75 and 288,006.75 is: 449,836.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,395.75 : 288,006.75 = 288,006.75 : x
  2. Step 2: Convert to fraction form
    184,395.75/288,006.75 = 288,006.75/x
  3. Step 3: Cross multiply
    184,395.75x = 288,006.75 × 288,006.75
  4. Step 4: Simplify right side
    184,395.75x = 82,947,888,045.56
  5. Step 5: Solve for x
    x = 82,947,888,045.56/184,395.75
  6. Step 6: Final answer
    x = 449,836.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.