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Finding the Third Proportional to 166,326 and 356,466

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Solution

The third proportional to 166,326 and 356,466 is: 763,969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,326 : 356,466 = 356,466 : x
  2. Step 2: Convert to fraction form
    166,326/356,466 = 356,466/x
  3. Step 3: Cross multiply
    166,326x = 356,466 × 356,466
  4. Step 4: Simplify right side
    166,326x = 127,068,009,156
  5. Step 5: Solve for x
    x = 127,068,009,156/166,326
  6. Step 6: Final answer
    x = 763,969.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.