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Finding the Third Proportional to 166,220 and 363,598

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Solution

The third proportional to 166,220 and 363,598 is: 795,352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,220 : 363,598 = 363,598 : x
  2. Step 2: Convert to fraction form
    166,220/363,598 = 363,598/x
  3. Step 3: Cross multiply
    166,220x = 363,598 × 363,598
  4. Step 4: Simplify right side
    166,220x = 132,203,505,604
  5. Step 5: Solve for x
    x = 132,203,505,604/166,220
  6. Step 6: Final answer
    x = 795,352.58

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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.