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Finding the Third Proportional to 166,671 and 359,403.75

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Solution

The third proportional to 166,671 and 359,403.75 is: 775,006.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,671 : 359,403.75 = 359,403.75 : x
  2. Step 2: Convert to fraction form
    166,671/359,403.75 = 359,403.75/x
  3. Step 3: Cross multiply
    166,671x = 359,403.75 × 359,403.75
  4. Step 4: Simplify right side
    166,671x = 129,171,055,514.06
  5. Step 5: Solve for x
    x = 129,171,055,514.06/166,671
  6. Step 6: Final answer
    x = 775,006.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.