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Finding the Third Proportional to 163,966.50 and 352,842.75

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Solution

The third proportional to 163,966.50 and 352,842.75 is: 759,289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,966.50 : 352,842.75 = 352,842.75 : x
  2. Step 2: Convert to fraction form
    163,966.50/352,842.75 = 352,842.75/x
  3. Step 3: Cross multiply
    163,966.50x = 352,842.75 × 352,842.75
  4. Step 4: Simplify right side
    163,966.50x = 124,498,006,227.56
  5. Step 5: Solve for x
    x = 124,498,006,227.56/163,966.50
  6. Step 6: Final answer
    x = 759,289.28

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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.