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Finding the Third Proportional to 232,228.69 and 327,029.06

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Solution

The third proportional to 232,228.69 and 327,029.06 is: 460,528.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,228.69 : 327,029.06 = 327,029.06 : x
  2. Step 2: Convert to fraction form
    232,228.69/327,029.06 = 327,029.06/x
  3. Step 3: Cross multiply
    232,228.69x = 327,029.06 × 327,029.06
  4. Step 4: Simplify right side
    232,228.69x = 106,948,007,719.63
  5. Step 5: Solve for x
    x = 106,948,007,719.63/232,228.69
  6. Step 6: Final answer
    x = 460,528.84

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.