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Finding the Third Proportional to 169,536.38 and 230,244.19

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Solution

The third proportional to 169,536.38 and 230,244.19 is: 312,690.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,536.38 : 230,244.19 = 230,244.19 : x
  2. Step 2: Convert to fraction form
    169,536.38/230,244.19 = 230,244.19/x
  3. Step 3: Cross multiply
    169,536.38x = 230,244.19 × 230,244.19
  4. Step 4: Simplify right side
    169,536.38x = 53,012,385,877.54
  5. Step 5: Solve for x
    x = 53,012,385,877.54/169,536.38
  6. Step 6: Final answer
    x = 312,690.33

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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.