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Finding the Third Proportional to 183,730 and 393,704

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Solution

The third proportional to 183,730 and 393,704 is: 843,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,730 : 393,704 = 393,704 : x
  2. Step 2: Convert to fraction form
    183,730/393,704 = 393,704/x
  3. Step 3: Cross multiply
    183,730x = 393,704 × 393,704
  4. Step 4: Simplify right side
    183,730x = 155,002,839,616
  5. Step 5: Solve for x
    x = 155,002,839,616/183,730
  6. Step 6: Final answer
    x = 843,644.69

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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.