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Finding the Third Proportional to 188,777 and 285,584

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Solution

The third proportional to 188,777 and 285,584 is: 432,034.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,777 : 285,584 = 285,584 : x
  2. Step 2: Convert to fraction form
    188,777/285,584 = 285,584/x
  3. Step 3: Cross multiply
    188,777x = 285,584 × 285,584
  4. Step 4: Simplify right side
    188,777x = 81,558,221,056
  5. Step 5: Solve for x
    x = 81,558,221,056/188,777
  6. Step 6: Final answer
    x = 432,034.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.