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Finding the Third Proportional to 166,947 and 393,701

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Solution

The third proportional to 166,947 and 393,701 is: 928,441.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,947 : 393,701 = 393,701 : x
  2. Step 2: Convert to fraction form
    166,947/393,701 = 393,701/x
  3. Step 3: Cross multiply
    166,947x = 393,701 × 393,701
  4. Step 4: Simplify right side
    166,947x = 155,000,477,401
  5. Step 5: Solve for x
    x = 155,000,477,401/166,947
  6. Step 6: Final answer
    x = 928,441.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.