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Finding the Third Proportional to 188,898.75 and 261,810.56

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Solution

The third proportional to 188,898.75 and 261,810.56 is: 362,865.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,898.75 : 261,810.56 = 261,810.56 : x
  2. Step 2: Convert to fraction form
    188,898.75/261,810.56 = 261,810.56/x
  3. Step 3: Cross multiply
    188,898.75x = 261,810.56 × 261,810.56
  4. Step 4: Simplify right side
    188,898.75x = 68,544,770,636.57
  5. Step 5: Solve for x
    x = 68,544,770,636.57/188,898.75
  6. Step 6: Final answer
    x = 362,865.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.