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Finding the Third Proportional to 188,374.50 and 275,590.50

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Solution

The third proportional to 188,374.50 and 275,590.50 is: 403,186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,374.50 : 275,590.50 = 275,590.50 : x
  2. Step 2: Convert to fraction form
    188,374.50/275,590.50 = 275,590.50/x
  3. Step 3: Cross multiply
    188,374.50x = 275,590.50 × 275,590.50
  4. Step 4: Simplify right side
    188,374.50x = 75,950,123,690.25
  5. Step 5: Solve for x
    x = 75,950,123,690.25/188,374.50
  6. Step 6: Final answer
    x = 403,186.86

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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.