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Finding the Third Proportional to 188,021.25 and 410,341.50

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Solution

The third proportional to 188,021.25 and 410,341.50 is: 895,537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,021.25 : 410,341.50 = 410,341.50 : x
  2. Step 2: Convert to fraction form
    188,021.25/410,341.50 = 410,341.50/x
  3. Step 3: Cross multiply
    188,021.25x = 410,341.50 × 410,341.50
  4. Step 4: Simplify right side
    188,021.25x = 168,380,146,622.25
  5. Step 5: Solve for x
    x = 168,380,146,622.25/188,021.25
  6. Step 6: Final answer
    x = 895,537.85

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Why These Related Problems?

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