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Finding the Third Proportional to 188,298 and 263,373.75

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Solution

The third proportional to 188,298 and 263,373.75 is: 368,382.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,298 : 263,373.75 = 263,373.75 : x
  2. Step 2: Convert to fraction form
    188,298/263,373.75 = 263,373.75/x
  3. Step 3: Cross multiply
    188,298x = 263,373.75 × 263,373.75
  4. Step 4: Simplify right side
    188,298x = 69,365,732,189.06
  5. Step 5: Solve for x
    x = 69,365,732,189.06/188,298
  6. Step 6: Final answer
    x = 368,382.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.