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Finding the Third Proportional to 188,051 and 410,395

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Solution

The third proportional to 188,051 and 410,395 is: 895,629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,051 : 410,395 = 410,395 : x
  2. Step 2: Convert to fraction form
    188,051/410,395 = 410,395/x
  3. Step 3: Cross multiply
    188,051x = 410,395 × 410,395
  4. Step 4: Simplify right side
    188,051x = 168,424,056,025
  5. Step 5: Solve for x
    x = 168,424,056,025/188,051
  6. Step 6: Final answer
    x = 895,629.68

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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.