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Finding the Third Proportional to 221,410.97 and 352,479.94

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Solution

The third proportional to 221,410.97 and 352,479.94 is: 561,137.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,410.97 : 352,479.94 = 352,479.94 : x
  2. Step 2: Convert to fraction form
    221,410.97/352,479.94 = 352,479.94/x
  3. Step 3: Cross multiply
    221,410.97x = 352,479.94 × 352,479.94
  4. Step 4: Simplify right side
    221,410.97x = 124,242,106,340.00
  5. Step 5: Solve for x
    x = 124,242,106,340.00/221,410.97
  6. Step 6: Final answer
    x = 561,137.99

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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.