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Finding the Third Proportional to 200,011 and 281,340.50

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Solution

The third proportional to 200,011 and 281,340.50 is: 395,740.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,011 : 281,340.50 = 281,340.50 : x
  2. Step 2: Convert to fraction form
    200,011/281,340.50 = 281,340.50/x
  3. Step 3: Cross multiply
    200,011x = 281,340.50 × 281,340.50
  4. Step 4: Simplify right side
    200,011x = 79,152,476,940.25
  5. Step 5: Solve for x
    x = 79,152,476,940.25/200,011
  6. Step 6: Final answer
    x = 395,740.62

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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.