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Finding the Third Proportional to 166,278 and 363,660

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Solution

The third proportional to 166,278 and 363,660 is: 795,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,278 : 363,660 = 363,660 : x
  2. Step 2: Convert to fraction form
    166,278/363,660 = 363,660/x
  3. Step 3: Cross multiply
    166,278x = 363,660 × 363,660
  4. Step 4: Simplify right side
    166,278x = 132,248,595,600
  5. Step 5: Solve for x
    x = 132,248,595,600/166,278
  6. Step 6: Final answer
    x = 795,346.32

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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.