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Finding the Third Proportional to 188,048.50 and 410,390.50

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Solution

The third proportional to 188,048.50 and 410,390.50 is: 895,621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,048.50 : 410,390.50 = 410,390.50 : x
  2. Step 2: Convert to fraction form
    188,048.50/410,390.50 = 410,390.50/x
  3. Step 3: Cross multiply
    188,048.50x = 410,390.50 × 410,390.50
  4. Step 4: Simplify right side
    188,048.50x = 168,420,362,490.25
  5. Step 5: Solve for x
    x = 168,420,362,490.25/188,048.50
  6. Step 6: Final answer
    x = 895,621.94

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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.