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Finding the Third Proportional to 188,739 and 275,323.50

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Solution

The third proportional to 188,739 and 275,323.50 is: 401,628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,739 : 275,323.50 = 275,323.50 : x
  2. Step 2: Convert to fraction form
    188,739/275,323.50 = 275,323.50/x
  3. Step 3: Cross multiply
    188,739x = 275,323.50 × 275,323.50
  4. Step 4: Simplify right side
    188,739x = 75,803,029,652.25
  5. Step 5: Solve for x
    x = 75,803,029,652.25/188,739
  6. Step 6: Final answer
    x = 401,628.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.