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Finding the Third Proportional to 183,736 and 393,715

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Solution

The third proportional to 183,736 and 393,715 is: 843,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,736 : 393,715 = 393,715 : x
  2. Step 2: Convert to fraction form
    183,736/393,715 = 393,715/x
  3. Step 3: Cross multiply
    183,736x = 393,715 × 393,715
  4. Step 4: Simplify right side
    183,736x = 155,011,501,225
  5. Step 5: Solve for x
    x = 155,011,501,225/183,736
  6. Step 6: Final answer
    x = 843,664.29

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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.