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Finding the Third Proportional to 205,068 and 441,240

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Solution

The third proportional to 205,068 and 441,240 is: 949,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,068 : 441,240 = 441,240 : x
  2. Step 2: Convert to fraction form
    205,068/441,240 = 441,240/x
  3. Step 3: Cross multiply
    205,068x = 441,240 × 441,240
  4. Step 4: Simplify right side
    205,068x = 194,692,737,600
  5. Step 5: Solve for x
    x = 194,692,737,600/205,068
  6. Step 6: Final answer
    x = 949,405.75

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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.