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Finding the Third Proportional to 179,237.75 and 275,123

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Solution

The third proportional to 179,237.75 and 275,123 is: 422,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,237.75 : 275,123 = 275,123 : x
  2. Step 2: Convert to fraction form
    179,237.75/275,123 = 275,123/x
  3. Step 3: Cross multiply
    179,237.75x = 275,123 × 275,123
  4. Step 4: Simplify right side
    179,237.75x = 75,692,665,129
  5. Step 5: Solve for x
    x = 75,692,665,129/179,237.75
  6. Step 6: Final answer
    x = 422,303.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.