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Finding the Third Proportional to 190,914.75 and 411,331.50

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Solution

The third proportional to 190,914.75 and 411,331.50 is: 886,225.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,914.75 : 411,331.50 = 411,331.50 : x
  2. Step 2: Convert to fraction form
    190,914.75/411,331.50 = 411,331.50/x
  3. Step 3: Cross multiply
    190,914.75x = 411,331.50 × 411,331.50
  4. Step 4: Simplify right side
    190,914.75x = 169,193,602,892.25
  5. Step 5: Solve for x
    x = 169,193,602,892.25/190,914.75
  6. Step 6: Final answer
    x = 886,225.94

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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.