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Finding the Third Proportional to 166,290 and 363,684

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Solution

The third proportional to 166,290 and 363,684 is: 795,393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,290 : 363,684 = 363,684 : x
  2. Step 2: Convert to fraction form
    166,290/363,684 = 363,684/x
  3. Step 3: Cross multiply
    166,290x = 363,684 × 363,684
  4. Step 4: Simplify right side
    166,290x = 132,266,051,856
  5. Step 5: Solve for x
    x = 132,266,051,856/166,290
  6. Step 6: Final answer
    x = 795,393.90

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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.