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Finding the Third Proportional to 165,742.88 and 362,832.75

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Solution

The third proportional to 165,742.88 and 362,832.75 is: 794,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,742.88 : 362,832.75 = 362,832.75 : x
  2. Step 2: Convert to fraction form
    165,742.88/362,832.75 = 362,832.75/x
  3. Step 3: Cross multiply
    165,742.88x = 362,832.75 × 362,832.75
  4. Step 4: Simplify right side
    165,742.88x = 131,647,604,472.56
  5. Step 5: Solve for x
    x = 131,647,604,472.56/165,742.88
  6. Step 6: Final answer
    x = 794,288.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.