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Finding the Third Proportional to 177,456 and 268,032

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Solution

The third proportional to 177,456 and 268,032 is: 404,839.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,456 : 268,032 = 268,032 : x
  2. Step 2: Convert to fraction form
    177,456/268,032 = 268,032/x
  3. Step 3: Cross multiply
    177,456x = 268,032 × 268,032
  4. Step 4: Simplify right side
    177,456x = 71,841,153,024
  5. Step 5: Solve for x
    x = 71,841,153,024/177,456
  6. Step 6: Final answer
    x = 404,839.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.