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Finding the Third Proportional to 187,824 and 391,176

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Solution

The third proportional to 187,824 and 391,176 is: 814,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,824 : 391,176 = 391,176 : x
  2. Step 2: Convert to fraction form
    187,824/391,176 = 391,176/x
  3. Step 3: Cross multiply
    187,824x = 391,176 × 391,176
  4. Step 4: Simplify right side
    187,824x = 153,018,662,976
  5. Step 5: Solve for x
    x = 153,018,662,976/187,824
  6. Step 6: Final answer
    x = 814,691.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.