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Finding the Third Proportional to 187,922 and 395,518

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Solution

The third proportional to 187,922 and 395,518 is: 832,443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,922 : 395,518 = 395,518 : x
  2. Step 2: Convert to fraction form
    187,922/395,518 = 395,518/x
  3. Step 3: Cross multiply
    187,922x = 395,518 × 395,518
  4. Step 4: Simplify right side
    187,922x = 156,434,488,324
  5. Step 5: Solve for x
    x = 156,434,488,324/187,922
  6. Step 6: Final answer
    x = 832,443.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.