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Finding the Third Proportional to 185,922 and 382,851

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Solution

The third proportional to 185,922 and 382,851 is: 788,367.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,922 : 382,851 = 382,851 : x
  2. Step 2: Convert to fraction form
    185,922/382,851 = 382,851/x
  3. Step 3: Cross multiply
    185,922x = 382,851 × 382,851
  4. Step 4: Simplify right side
    185,922x = 146,574,888,201
  5. Step 5: Solve for x
    x = 146,574,888,201/185,922
  6. Step 6: Final answer
    x = 788,367.64

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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.