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Finding the Third Proportional to 188,784 and 288,096.75

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Solution

The third proportional to 188,784 and 288,096.75 is: 439,654.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,784 : 288,096.75 = 288,096.75 : x
  2. Step 2: Convert to fraction form
    188,784/288,096.75 = 288,096.75/x
  3. Step 3: Cross multiply
    188,784x = 288,096.75 × 288,096.75
  4. Step 4: Simplify right side
    188,784x = 82,999,737,360.56
  5. Step 5: Solve for x
    x = 82,999,737,360.56/188,784
  6. Step 6: Final answer
    x = 439,654.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.