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Finding the Third Proportional to 221,414.75 and 352,485.75

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Solution

The third proportional to 221,414.75 and 352,485.75 is: 561,146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,414.75 : 352,485.75 = 352,485.75 : x
  2. Step 2: Convert to fraction form
    221,414.75/352,485.75 = 352,485.75/x
  3. Step 3: Cross multiply
    221,414.75x = 352,485.75 × 352,485.75
  4. Step 4: Simplify right side
    221,414.75x = 124,246,203,953.06
  5. Step 5: Solve for x
    x = 124,246,203,953.06/221,414.75
  6. Step 6: Final answer
    x = 561,146.92

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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.