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Finding the Third Proportional to 188,016.75 and 410,332.50

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Solution

The third proportional to 188,016.75 and 410,332.50 is: 895,520.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,016.75 : 410,332.50 = 410,332.50 : x
  2. Step 2: Convert to fraction form
    188,016.75/410,332.50 = 410,332.50/x
  3. Step 3: Cross multiply
    188,016.75x = 410,332.50 × 410,332.50
  4. Step 4: Simplify right side
    188,016.75x = 168,372,760,556.25
  5. Step 5: Solve for x
    x = 168,372,760,556.25/188,016.75
  6. Step 6: Final answer
    x = 895,520.00

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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.