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Finding the Third Proportional to 188,782.50 and 367,995.75

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Solution

The third proportional to 188,782.50 and 367,995.75 is: 717,338.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,782.50 : 367,995.75 = 367,995.75 : x
  2. Step 2: Convert to fraction form
    188,782.50/367,995.75 = 367,995.75/x
  3. Step 3: Cross multiply
    188,782.50x = 367,995.75 × 367,995.75
  4. Step 4: Simplify right side
    188,782.50x = 135,420,872,018.06
  5. Step 5: Solve for x
    x = 135,420,872,018.06/188,782.50
  6. Step 6: Final answer
    x = 717,338.06

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.