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Finding the Third Proportional to 185,927 and 382,858

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Solution

The third proportional to 185,927 and 382,858 is: 788,375.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,927 : 382,858 = 382,858 : x
  2. Step 2: Convert to fraction form
    185,927/382,858 = 382,858/x
  3. Step 3: Cross multiply
    185,927x = 382,858 × 382,858
  4. Step 4: Simplify right side
    185,927x = 146,580,248,164
  5. Step 5: Solve for x
    x = 146,580,248,164/185,927
  6. Step 6: Final answer
    x = 788,375.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.