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Finding the Third Proportional to 151,841.25 and 226,921.50

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Solution

The third proportional to 151,841.25 and 226,921.50 is: 339,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,841.25 : 226,921.50 = 226,921.50 : x
  2. Step 2: Convert to fraction form
    151,841.25/226,921.50 = 226,921.50/x
  3. Step 3: Cross multiply
    151,841.25x = 226,921.50 × 226,921.50
  4. Step 4: Simplify right side
    151,841.25x = 51,493,367,162.25
  5. Step 5: Solve for x
    x = 51,493,367,162.25/151,841.25
  6. Step 6: Final answer
    x = 339,126.34

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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.