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Finding the Third Proportional to 183,731 and 393,706

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Solution

The third proportional to 183,731 and 393,706 is: 843,648.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,731 : 393,706 = 393,706 : x
  2. Step 2: Convert to fraction form
    183,731/393,706 = 393,706/x
  3. Step 3: Cross multiply
    183,731x = 393,706 × 393,706
  4. Step 4: Simplify right side
    183,731x = 155,004,414,436
  5. Step 5: Solve for x
    x = 155,004,414,436/183,731
  6. Step 6: Final answer
    x = 843,648.67

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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.