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Finding the Third Proportional to 83,840 and 183,232

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Solution

The third proportional to 83,840 and 183,232 is: 400,452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,840 : 183,232 = 183,232 : x
  2. Step 2: Convert to fraction form
    83,840/183,232 = 183,232/x
  3. Step 3: Cross multiply
    83,840x = 183,232 × 183,232
  4. Step 4: Simplify right side
    83,840x = 33,573,965,824
  5. Step 5: Solve for x
    x = 33,573,965,824/83,840
  6. Step 6: Final answer
    x = 400,452.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.