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Finding the Third Proportional to 166,282 and 363,668

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Solution

The third proportional to 166,282 and 363,668 is: 795,362.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,282 : 363,668 = 363,668 : x
  2. Step 2: Convert to fraction form
    166,282/363,668 = 363,668/x
  3. Step 3: Cross multiply
    166,282x = 363,668 × 363,668
  4. Step 4: Simplify right side
    166,282x = 132,254,414,224
  5. Step 5: Solve for x
    x = 132,254,414,224/166,282
  6. Step 6: Final answer
    x = 795,362.18

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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.