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Finding the Third Proportional to 148,082 and 223,447

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Solution

The third proportional to 148,082 and 223,447 is: 337,168.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,082 : 223,447 = 223,447 : x
  2. Step 2: Convert to fraction form
    148,082/223,447 = 223,447/x
  3. Step 3: Cross multiply
    148,082x = 223,447 × 223,447
  4. Step 4: Simplify right side
    148,082x = 49,928,561,809
  5. Step 5: Solve for x
    x = 49,928,561,809/148,082
  6. Step 6: Final answer
    x = 337,168.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.