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Finding the Third Proportional to 225,758.25 and 301,113

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Solution

The third proportional to 225,758.25 and 301,113 is: 401,620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,758.25 : 301,113 = 301,113 : x
  2. Step 2: Convert to fraction form
    225,758.25/301,113 = 301,113/x
  3. Step 3: Cross multiply
    225,758.25x = 301,113 × 301,113
  4. Step 4: Simplify right side
    225,758.25x = 90,669,038,769
  5. Step 5: Solve for x
    x = 90,669,038,769/225,758.25
  6. Step 6: Final answer
    x = 401,620.05

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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.