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Finding the Third Proportional to 151,080 and 222,444

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Solution

The third proportional to 151,080 and 222,444 is: 327,517.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,080 : 222,444 = 222,444 : x
  2. Step 2: Convert to fraction form
    151,080/222,444 = 222,444/x
  3. Step 3: Cross multiply
    151,080x = 222,444 × 222,444
  4. Step 4: Simplify right side
    151,080x = 49,481,333,136
  5. Step 5: Solve for x
    x = 49,481,333,136/151,080
  6. Step 6: Final answer
    x = 327,517.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.