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Finding the Third Proportional to 190,181.25 and 401,584.50

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Solution

The third proportional to 190,181.25 and 401,584.50 is: 847,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,181.25 : 401,584.50 = 401,584.50 : x
  2. Step 2: Convert to fraction form
    190,181.25/401,584.50 = 401,584.50/x
  3. Step 3: Cross multiply
    190,181.25x = 401,584.50 × 401,584.50
  4. Step 4: Simplify right side
    190,181.25x = 161,270,110,640.25
  5. Step 5: Solve for x
    x = 161,270,110,640.25/190,181.25
  6. Step 6: Final answer
    x = 847,981.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.