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Finding the Third Proportional to 151,082 and 222,446

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Solution

The third proportional to 151,082 and 222,446 is: 327,518.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,082 : 222,446 = 222,446 : x
  2. Step 2: Convert to fraction form
    151,082/222,446 = 222,446/x
  3. Step 3: Cross multiply
    151,082x = 222,446 × 222,446
  4. Step 4: Simplify right side
    151,082x = 49,482,222,916
  5. Step 5: Solve for x
    x = 49,482,222,916/151,082
  6. Step 6: Final answer
    x = 327,518.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.