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Finding the Third Proportional to 195,604 and 427,180

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Solution

The third proportional to 195,604 and 427,180 is: 932,919.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,604 : 427,180 = 427,180 : x
  2. Step 2: Convert to fraction form
    195,604/427,180 = 427,180/x
  3. Step 3: Cross multiply
    195,604x = 427,180 × 427,180
  4. Step 4: Simplify right side
    195,604x = 182,482,752,400
  5. Step 5: Solve for x
    x = 182,482,752,400/195,604
  6. Step 6: Final answer
    x = 932,919.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.