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Finding the Third Proportional to 221,429.25 and 352,505.25

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Solution

The third proportional to 221,429.25 and 352,505.25 is: 561,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,429.25 : 352,505.25 = 352,505.25 : x
  2. Step 2: Convert to fraction form
    221,429.25/352,505.25 = 352,505.25/x
  3. Step 3: Cross multiply
    221,429.25x = 352,505.25 × 352,505.25
  4. Step 4: Simplify right side
    221,429.25x = 124,259,951,277.56
  5. Step 5: Solve for x
    x = 124,259,951,277.56/221,429.25
  6. Step 6: Final answer
    x = 561,172.25

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.