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Finding the Third Proportional to 190,639.50 and 410,819

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Solution

The third proportional to 190,639.50 and 410,819 is: 885,295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,639.50 : 410,819 = 410,819 : x
  2. Step 2: Convert to fraction form
    190,639.50/410,819 = 410,819/x
  3. Step 3: Cross multiply
    190,639.50x = 410,819 × 410,819
  4. Step 4: Simplify right side
    190,639.50x = 168,772,250,761
  5. Step 5: Solve for x
    x = 168,772,250,761/190,639.50
  6. Step 6: Final answer
    x = 885,295.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.