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Finding the Third Proportional to 184,005.75 and 397,011.75

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Solution

The third proportional to 184,005.75 and 397,011.75 is: 856,594.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,005.75 : 397,011.75 = 397,011.75 : x
  2. Step 2: Convert to fraction form
    184,005.75/397,011.75 = 397,011.75/x
  3. Step 3: Cross multiply
    184,005.75x = 397,011.75 × 397,011.75
  4. Step 4: Simplify right side
    184,005.75x = 157,618,329,638.06
  5. Step 5: Solve for x
    x = 157,618,329,638.06/184,005.75
  6. Step 6: Final answer
    x = 856,594.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.