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Finding the Third Proportional to 184,680 and 397,854

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Solution

The third proportional to 184,680 and 397,854 is: 857,092.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,680 : 397,854 = 397,854 : x
  2. Step 2: Convert to fraction form
    184,680/397,854 = 397,854/x
  3. Step 3: Cross multiply
    184,680x = 397,854 × 397,854
  4. Step 4: Simplify right side
    184,680x = 158,287,805,316
  5. Step 5: Solve for x
    x = 158,287,805,316/184,680
  6. Step 6: Final answer
    x = 857,092.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.