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Finding the Third Proportional to 185,592 and 288,110

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Solution

The third proportional to 185,592 and 288,110 is: 447,257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,592 : 288,110 = 288,110 : x
  2. Step 2: Convert to fraction form
    185,592/288,110 = 288,110/x
  3. Step 3: Cross multiply
    185,592x = 288,110 × 288,110
  4. Step 4: Simplify right side
    185,592x = 83,007,372,100
  5. Step 5: Solve for x
    x = 83,007,372,100/185,592
  6. Step 6: Final answer
    x = 447,257.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.