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Finding the Third Proportional to 164,020 and 352,766

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Solution

The third proportional to 164,020 and 352,766 is: 758,711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,020 : 352,766 = 352,766 : x
  2. Step 2: Convert to fraction form
    164,020/352,766 = 352,766/x
  3. Step 3: Cross multiply
    164,020x = 352,766 × 352,766
  4. Step 4: Simplify right side
    164,020x = 124,443,850,756
  5. Step 5: Solve for x
    x = 124,443,850,756/164,020
  6. Step 6: Final answer
    x = 758,711.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.