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Finding the Third Proportional to 130,910.25 and 285,147.75

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Solution

The third proportional to 130,910.25 and 285,147.75 is: 621,106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,910.25 : 285,147.75 = 285,147.75 : x
  2. Step 2: Convert to fraction form
    130,910.25/285,147.75 = 285,147.75/x
  3. Step 3: Cross multiply
    130,910.25x = 285,147.75 × 285,147.75
  4. Step 4: Simplify right side
    130,910.25x = 81,309,239,330.06
  5. Step 5: Solve for x
    x = 81,309,239,330.06/130,910.25
  6. Step 6: Final answer
    x = 621,106.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.