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Finding the Third Proportional to 184,645.69 and 397,540.13

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Solution

The third proportional to 184,645.69 and 397,540.13 is: 855,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,645.69 : 397,540.13 = 397,540.13 : x
  2. Step 2: Convert to fraction form
    184,645.69/397,540.13 = 397,540.13/x
  3. Step 3: Cross multiply
    184,645.69x = 397,540.13 × 397,540.13
  4. Step 4: Simplify right side
    184,645.69x = 158,038,150,985.02
  5. Step 5: Solve for x
    x = 158,038,150,985.02/184,645.69
  6. Step 6: Final answer
    x = 855,899.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.