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Finding the Third Proportional to 166,294 and 364,780

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Solution

The third proportional to 166,294 and 364,780 is: 800,175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,294 : 364,780 = 364,780 : x
  2. Step 2: Convert to fraction form
    166,294/364,780 = 364,780/x
  3. Step 3: Cross multiply
    166,294x = 364,780 × 364,780
  4. Step 4: Simplify right side
    166,294x = 133,064,448,400
  5. Step 5: Solve for x
    x = 133,064,448,400/166,294
  6. Step 6: Final answer
    x = 800,175.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.