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Finding the Third Proportional to 252,082 and 378,123

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Solution

The third proportional to 252,082 and 378,123 is: 567,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,082 : 378,123 = 378,123 : x
  2. Step 2: Convert to fraction form
    252,082/378,123 = 378,123/x
  3. Step 3: Cross multiply
    252,082x = 378,123 × 378,123
  4. Step 4: Simplify right side
    252,082x = 142,977,003,129
  5. Step 5: Solve for x
    x = 142,977,003,129/252,082
  6. Step 6: Final answer
    x = 567,184.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.