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Finding the Third Proportional to 85,824 and 186,420

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Solution

The third proportional to 85,824 and 186,420 is: 404,926.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,824 : 186,420 = 186,420 : x
  2. Step 2: Convert to fraction form
    85,824/186,420 = 186,420/x
  3. Step 3: Cross multiply
    85,824x = 186,420 × 186,420
  4. Step 4: Simplify right side
    85,824x = 34,752,416,400
  5. Step 5: Solve for x
    x = 34,752,416,400/85,824
  6. Step 6: Final answer
    x = 404,926.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.