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Finding the Third Proportional to 151,725.75 and 226,549.50

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Solution

The third proportional to 151,725.75 and 226,549.50 is: 338,272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,725.75 : 226,549.50 = 226,549.50 : x
  2. Step 2: Convert to fraction form
    151,725.75/226,549.50 = 226,549.50/x
  3. Step 3: Cross multiply
    151,725.75x = 226,549.50 × 226,549.50
  4. Step 4: Simplify right side
    151,725.75x = 51,324,675,950.25
  5. Step 5: Solve for x
    x = 51,324,675,950.25/151,725.75
  6. Step 6: Final answer
    x = 338,272.68

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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.