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Finding the Third Proportional to 177,491.25 and 382,046.63

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Solution

The third proportional to 177,491.25 and 382,046.63 is: 822,348.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,491.25 : 382,046.63 = 382,046.63 : x
  2. Step 2: Convert to fraction form
    177,491.25/382,046.63 = 382,046.63/x
  3. Step 3: Cross multiply
    177,491.25x = 382,046.63 × 382,046.63
  4. Step 4: Simplify right side
    177,491.25x = 145,959,623,673.89
  5. Step 5: Solve for x
    x = 145,959,623,673.89/177,491.25
  6. Step 6: Final answer
    x = 822,348.28

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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.