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Finding the Third Proportional to 151,786 and 226,448.75

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Solution

The third proportional to 151,786 and 226,448.75 is: 337,837.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,786 : 226,448.75 = 226,448.75 : x
  2. Step 2: Convert to fraction form
    151,786/226,448.75 = 226,448.75/x
  3. Step 3: Cross multiply
    151,786x = 226,448.75 × 226,448.75
  4. Step 4: Simplify right side
    151,786x = 51,279,036,376.56
  5. Step 5: Solve for x
    x = 51,279,036,376.56/151,786
  6. Step 6: Final answer
    x = 337,837.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.