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Finding the Third Proportional to 181,904 and 393,700

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Solution

The third proportional to 181,904 and 393,700 is: 852,096.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,904 : 393,700 = 393,700 : x
  2. Step 2: Convert to fraction form
    181,904/393,700 = 393,700/x
  3. Step 3: Cross multiply
    181,904x = 393,700 × 393,700
  4. Step 4: Simplify right side
    181,904x = 154,999,690,000
  5. Step 5: Solve for x
    x = 154,999,690,000/181,904
  6. Step 6: Final answer
    x = 852,096.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.