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Finding the Third Proportional to 166,960 and 393,726

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Solution

The third proportional to 166,960 and 393,726 is: 928,486.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,960 : 393,726 = 393,726 : x
  2. Step 2: Convert to fraction form
    166,960/393,726 = 393,726/x
  3. Step 3: Cross multiply
    166,960x = 393,726 × 393,726
  4. Step 4: Simplify right side
    166,960x = 155,020,163,076
  5. Step 5: Solve for x
    x = 155,020,163,076/166,960
  6. Step 6: Final answer
    x = 928,486.84

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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.