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Finding the Third Proportional to 187,641 and 382,923

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Solution

The third proportional to 187,641 and 382,923 is: 781,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,641 : 382,923 = 382,923 : x
  2. Step 2: Convert to fraction form
    187,641/382,923 = 382,923/x
  3. Step 3: Cross multiply
    187,641x = 382,923 × 382,923
  4. Step 4: Simplify right side
    187,641x = 146,630,023,929
  5. Step 5: Solve for x
    x = 146,630,023,929/187,641
  6. Step 6: Final answer
    x = 781,439.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.