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Finding the Third Proportional to 166,166 and 362,407

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Solution

The third proportional to 166,166 and 362,407 is: 790,407.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,166 : 362,407 = 362,407 : x
  2. Step 2: Convert to fraction form
    166,166/362,407 = 362,407/x
  3. Step 3: Cross multiply
    166,166x = 362,407 × 362,407
  4. Step 4: Simplify right side
    166,166x = 131,338,833,649
  5. Step 5: Solve for x
    x = 131,338,833,649/166,166
  6. Step 6: Final answer
    x = 790,407.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.