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Finding the Third Proportional to 181,084 and 393,654

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Solution

The third proportional to 181,084 and 393,654 is: 855,754.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,084 : 393,654 = 393,654 : x
  2. Step 2: Convert to fraction form
    181,084/393,654 = 393,654/x
  3. Step 3: Cross multiply
    181,084x = 393,654 × 393,654
  4. Step 4: Simplify right side
    181,084x = 154,963,471,716
  5. Step 5: Solve for x
    x = 154,963,471,716/181,084
  6. Step 6: Final answer
    x = 855,754.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.