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Finding the Third Proportional to 225,876.38 and 301,127.63

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Solution

The third proportional to 225,876.38 and 301,127.63 is: 401,449.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,876.38 : 301,127.63 = 301,127.63 : x
  2. Step 2: Convert to fraction form
    225,876.38/301,127.63 = 301,127.63/x
  3. Step 3: Cross multiply
    225,876.38x = 301,127.63 × 301,127.63
  4. Step 4: Simplify right side
    225,876.38x = 90,677,846,538.14
  5. Step 5: Solve for x
    x = 90,677,846,538.14/225,876.38
  6. Step 6: Final answer
    x = 401,449.01

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.