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Finding the Third Proportional to 180,344 and 387,264

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Solution

The third proportional to 180,344 and 387,264 is: 831,596.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,344 : 387,264 = 387,264 : x
  2. Step 2: Convert to fraction form
    180,344/387,264 = 387,264/x
  3. Step 3: Cross multiply
    180,344x = 387,264 × 387,264
  4. Step 4: Simplify right side
    180,344x = 149,973,405,696
  5. Step 5: Solve for x
    x = 149,973,405,696/180,344
  6. Step 6: Final answer
    x = 831,596.31

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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.