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Finding the Third Proportional to 157,564.50 and 226,505.25

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Solution

The third proportional to 157,564.50 and 226,505.25 is: 325,610.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,564.50 : 226,505.25 = 226,505.25 : x
  2. Step 2: Convert to fraction form
    157,564.50/226,505.25 = 226,505.25/x
  3. Step 3: Cross multiply
    157,564.50x = 226,505.25 × 226,505.25
  4. Step 4: Simplify right side
    157,564.50x = 51,304,628,277.56
  5. Step 5: Solve for x
    x = 51,304,628,277.56/157,564.50
  6. Step 6: Final answer
    x = 325,610.33

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.