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Finding the Third Proportional to 144,335.25 and 226,719

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Solution

The third proportional to 144,335.25 and 226,719 is: 356,125.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,335.25 : 226,719 = 226,719 : x
  2. Step 2: Convert to fraction form
    144,335.25/226,719 = 226,719/x
  3. Step 3: Cross multiply
    144,335.25x = 226,719 × 226,719
  4. Step 4: Simplify right side
    144,335.25x = 51,401,504,961
  5. Step 5: Solve for x
    x = 51,401,504,961/144,335.25
  6. Step 6: Final answer
    x = 356,125.79

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.