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Finding the Third Proportional to 188,656 and 284,749

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Solution

The third proportional to 188,656 and 284,749 is: 429,787.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,656 : 284,749 = 284,749 : x
  2. Step 2: Convert to fraction form
    188,656/284,749 = 284,749/x
  3. Step 3: Cross multiply
    188,656x = 284,749 × 284,749
  4. Step 4: Simplify right side
    188,656x = 81,081,993,001
  5. Step 5: Solve for x
    x = 81,081,993,001/188,656
  6. Step 6: Final answer
    x = 429,787.51

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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.