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Finding the Third Proportional to 180,338 and 387,252

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Solution

The third proportional to 180,338 and 387,252 is: 831,572.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,338 : 387,252 = 387,252 : x
  2. Step 2: Convert to fraction form
    180,338/387,252 = 387,252/x
  3. Step 3: Cross multiply
    180,338x = 387,252 × 387,252
  4. Step 4: Simplify right side
    180,338x = 149,964,111,504
  5. Step 5: Solve for x
    x = 149,964,111,504/180,338
  6. Step 6: Final answer
    x = 831,572.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.