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Finding the Third Proportional to 188,811 and 306,726.75

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Solution

The third proportional to 188,811 and 306,726.75 is: 498,282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,811 : 306,726.75 = 306,726.75 : x
  2. Step 2: Convert to fraction form
    188,811/306,726.75 = 306,726.75/x
  3. Step 3: Cross multiply
    188,811x = 306,726.75 × 306,726.75
  4. Step 4: Simplify right side
    188,811x = 94,081,299,165.56
  5. Step 5: Solve for x
    x = 94,081,299,165.56/188,811
  6. Step 6: Final answer
    x = 498,282.93

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.