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Finding the Third Proportional to 181,598 and 384,823

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Solution

The third proportional to 181,598 and 384,823 is: 815,475.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,598 : 384,823 = 384,823 : x
  2. Step 2: Convert to fraction form
    181,598/384,823 = 384,823/x
  3. Step 3: Cross multiply
    181,598x = 384,823 × 384,823
  4. Step 4: Simplify right side
    181,598x = 148,088,741,329
  5. Step 5: Solve for x
    x = 148,088,741,329/181,598
  6. Step 6: Final answer
    x = 815,475.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.