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Finding the Third Proportional to 165,300.75 and 194,460.75

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Solution

The third proportional to 165,300.75 and 194,460.75 is: 228,764.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,300.75 : 194,460.75 = 194,460.75 : x
  2. Step 2: Convert to fraction form
    165,300.75/194,460.75 = 194,460.75/x
  3. Step 3: Cross multiply
    165,300.75x = 194,460.75 × 194,460.75
  4. Step 4: Simplify right side
    165,300.75x = 37,814,983,290.56
  5. Step 5: Solve for x
    x = 37,814,983,290.56/165,300.75
  6. Step 6: Final answer
    x = 228,764.74

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.