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Finding the Third Proportional to 188,914 and 294,855

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Solution

The third proportional to 188,914 and 294,855 is: 460,206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,914 : 294,855 = 294,855 : x
  2. Step 2: Convert to fraction form
    188,914/294,855 = 294,855/x
  3. Step 3: Cross multiply
    188,914x = 294,855 × 294,855
  4. Step 4: Simplify right side
    188,914x = 86,939,471,025
  5. Step 5: Solve for x
    x = 86,939,471,025/188,914
  6. Step 6: Final answer
    x = 460,206.61

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.