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Finding the Third Proportional to 190,847.75 and 259,192

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Solution

The third proportional to 190,847.75 and 259,192 is: 352,010.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,847.75 : 259,192 = 259,192 : x
  2. Step 2: Convert to fraction form
    190,847.75/259,192 = 259,192/x
  3. Step 3: Cross multiply
    190,847.75x = 259,192 × 259,192
  4. Step 4: Simplify right side
    190,847.75x = 67,180,492,864
  5. Step 5: Solve for x
    x = 67,180,492,864/190,847.75
  6. Step 6: Final answer
    x = 352,010.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.