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Finding the Third Proportional to 165,620 and 234,126

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Solution

The third proportional to 165,620 and 234,126 is: 330,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,620 : 234,126 = 234,126 : x
  2. Step 2: Convert to fraction form
    165,620/234,126 = 234,126/x
  3. Step 3: Cross multiply
    165,620x = 234,126 × 234,126
  4. Step 4: Simplify right side
    165,620x = 54,814,983,876
  5. Step 5: Solve for x
    x = 54,814,983,876/165,620
  6. Step 6: Final answer
    x = 330,968.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.