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Finding the Third Proportional to 166,679.25 and 359,421

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Solution

The third proportional to 166,679.25 and 359,421 is: 775,042.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,679.25 : 359,421 = 359,421 : x
  2. Step 2: Convert to fraction form
    166,679.25/359,421 = 359,421/x
  3. Step 3: Cross multiply
    166,679.25x = 359,421 × 359,421
  4. Step 4: Simplify right side
    166,679.25x = 129,183,455,241
  5. Step 5: Solve for x
    x = 129,183,455,241/166,679.25
  6. Step 6: Final answer
    x = 775,042.22

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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.