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Finding the Third Proportional to 190,081.50 and 411,532.50

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Solution

The third proportional to 190,081.50 and 411,532.50 is: 890,980.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,081.50 : 411,532.50 = 411,532.50 : x
  2. Step 2: Convert to fraction form
    190,081.50/411,532.50 = 411,532.50/x
  3. Step 3: Cross multiply
    190,081.50x = 411,532.50 × 411,532.50
  4. Step 4: Simplify right side
    190,081.50x = 169,358,998,556.25
  5. Step 5: Solve for x
    x = 169,358,998,556.25/190,081.50
  6. Step 6: Final answer
    x = 890,980.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.