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Finding the Third Proportional to 169,563.38 and 226,038.09

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Solution

The third proportional to 169,563.38 and 226,038.09 is: 301,322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,563.38 : 226,038.09 = 226,038.09 : x
  2. Step 2: Convert to fraction form
    169,563.38/226,038.09 = 226,038.09/x
  3. Step 3: Cross multiply
    169,563.38x = 226,038.09 × 226,038.09
  4. Step 4: Simplify right side
    169,563.38x = 51,093,219,826.13
  5. Step 5: Solve for x
    x = 51,093,219,826.13/169,563.38
  6. Step 6: Final answer
    x = 301,322.26

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.