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Finding the Third Proportional to 150,082 and 320,248

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Solution

The third proportional to 150,082 and 320,248 is: 683,351.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,082 : 320,248 = 320,248 : x
  2. Step 2: Convert to fraction form
    150,082/320,248 = 320,248/x
  3. Step 3: Cross multiply
    150,082x = 320,248 × 320,248
  4. Step 4: Simplify right side
    150,082x = 102,558,781,504
  5. Step 5: Solve for x
    x = 102,558,781,504/150,082
  6. Step 6: Final answer
    x = 683,351.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.