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Finding the Third Proportional to 221,167.13 and 333,583.31

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Solution

The third proportional to 221,167.13 and 333,583.31 is: 503,139.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,167.13 : 333,583.31 = 333,583.31 : x
  2. Step 2: Convert to fraction form
    221,167.13/333,583.31 = 333,583.31/x
  3. Step 3: Cross multiply
    221,167.13x = 333,583.31 × 333,583.31
  4. Step 4: Simplify right side
    221,167.13x = 111,277,826,378.47
  5. Step 5: Solve for x
    x = 111,277,826,378.47/221,167.13
  6. Step 6: Final answer
    x = 503,139.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.