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Finding the Third Proportional to 183,728 and 393,700

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Solution

The third proportional to 183,728 and 393,700 is: 843,636.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,728 : 393,700 = 393,700 : x
  2. Step 2: Convert to fraction form
    183,728/393,700 = 393,700/x
  3. Step 3: Cross multiply
    183,728x = 393,700 × 393,700
  4. Step 4: Simplify right side
    183,728x = 154,999,690,000
  5. Step 5: Solve for x
    x = 154,999,690,000/183,728
  6. Step 6: Final answer
    x = 843,636.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.