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Finding the Third Proportional to 190,939.50 and 411,390

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Solution

The third proportional to 190,939.50 and 411,390 is: 886,363.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,939.50 : 411,390 = 411,390 : x
  2. Step 2: Convert to fraction form
    190,939.50/411,390 = 411,390/x
  3. Step 3: Cross multiply
    190,939.50x = 411,390 × 411,390
  4. Step 4: Simplify right side
    190,939.50x = 169,241,732,100
  5. Step 5: Solve for x
    x = 169,241,732,100/190,939.50
  6. Step 6: Final answer
    x = 886,363.13

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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.