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Finding the Third Proportional to 188,538.89 and 263,729.04

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Solution

The third proportional to 188,538.89 and 263,729.04 is: 368,905.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,538.89 : 263,729.04 = 263,729.04 : x
  2. Step 2: Convert to fraction form
    188,538.89/263,729.04 = 263,729.04/x
  3. Step 3: Cross multiply
    188,538.89x = 263,729.04 × 263,729.04
  4. Step 4: Simplify right side
    188,538.89x = 69,553,006,044.83
  5. Step 5: Solve for x
    x = 69,553,006,044.83/188,538.89
  6. Step 6: Final answer
    x = 368,905.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.