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Finding the Third Proportional to 169,608.94 and 230,343.75

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Solution

The third proportional to 169,608.94 and 230,343.75 is: 312,826.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,608.94 : 230,343.75 = 230,343.75 : x
  2. Step 2: Convert to fraction form
    169,608.94/230,343.75 = 230,343.75/x
  3. Step 3: Cross multiply
    169,608.94x = 230,343.75 × 230,343.75
  4. Step 4: Simplify right side
    169,608.94x = 53,058,243,164.06
  5. Step 5: Solve for x
    x = 53,058,243,164.06/169,608.94
  6. Step 6: Final answer
    x = 312,826.93

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.