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Finding the Third Proportional to 166,685 and 359,433

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Solution

The third proportional to 166,685 and 359,433 is: 775,067.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,685 : 359,433 = 359,433 : x
  2. Step 2: Convert to fraction form
    166,685/359,433 = 359,433/x
  3. Step 3: Cross multiply
    166,685x = 359,433 × 359,433
  4. Step 4: Simplify right side
    166,685x = 129,192,081,489
  5. Step 5: Solve for x
    x = 129,192,081,489/166,685
  6. Step 6: Final answer
    x = 775,067.23

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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.