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Finding the Third Proportional to 190,894.50 and 411,293.25

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Solution

The third proportional to 190,894.50 and 411,293.25 is: 886,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,894.50 : 411,293.25 = 411,293.25 : x
  2. Step 2: Convert to fraction form
    190,894.50/411,293.25 = 411,293.25/x
  3. Step 3: Cross multiply
    190,894.50x = 411,293.25 × 411,293.25
  4. Step 4: Simplify right side
    190,894.50x = 169,162,137,495.56
  5. Step 5: Solve for x
    x = 169,162,137,495.56/190,894.50
  6. Step 6: Final answer
    x = 886,155.11

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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.