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Finding the Third Proportional to 176,192 and 387,232

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Solution

The third proportional to 176,192 and 387,232 is: 851,052.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,192 : 387,232 = 387,232 : x
  2. Step 2: Convert to fraction form
    176,192/387,232 = 387,232/x
  3. Step 3: Cross multiply
    176,192x = 387,232 × 387,232
  4. Step 4: Simplify right side
    176,192x = 149,948,621,824
  5. Step 5: Solve for x
    x = 149,948,621,824/176,192
  6. Step 6: Final answer
    x = 851,052.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.