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Finding the Third Proportional to 177,082 and 263,115

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Solution

The third proportional to 177,082 and 263,115 is: 390,946.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,082 : 263,115 = 263,115 : x
  2. Step 2: Convert to fraction form
    177,082/263,115 = 263,115/x
  3. Step 3: Cross multiply
    177,082x = 263,115 × 263,115
  4. Step 4: Simplify right side
    177,082x = 69,229,503,225
  5. Step 5: Solve for x
    x = 69,229,503,225/177,082
  6. Step 6: Final answer
    x = 390,946.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.