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Finding the Third Proportional to 181,041 and 287,082

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Solution

The third proportional to 181,041 and 287,082 is: 455,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,041 : 287,082 = 287,082 : x
  2. Step 2: Convert to fraction form
    181,041/287,082 = 287,082/x
  3. Step 3: Cross multiply
    181,041x = 287,082 × 287,082
  4. Step 4: Simplify right side
    181,041x = 82,416,074,724
  5. Step 5: Solve for x
    x = 82,416,074,724/181,041
  6. Step 6: Final answer
    x = 455,234.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.