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Finding the Third Proportional to 166,518 and 359,634

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Solution

The third proportional to 166,518 and 359,634 is: 776,712.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,518 : 359,634 = 359,634 : x
  2. Step 2: Convert to fraction form
    166,518/359,634 = 359,634/x
  3. Step 3: Cross multiply
    166,518x = 359,634 × 359,634
  4. Step 4: Simplify right side
    166,518x = 129,336,613,956
  5. Step 5: Solve for x
    x = 129,336,613,956/166,518
  6. Step 6: Final answer
    x = 776,712.51

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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.