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Finding the Third Proportional to 190,824.75 and 295,203.38

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Solution

The third proportional to 190,824.75 and 295,203.38 is: 456,675.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,824.75 : 295,203.38 = 295,203.38 : x
  2. Step 2: Convert to fraction form
    190,824.75/295,203.38 = 295,203.38/x
  3. Step 3: Cross multiply
    190,824.75x = 295,203.38 × 295,203.38
  4. Step 4: Simplify right side
    190,824.75x = 87,145,032,611.39
  5. Step 5: Solve for x
    x = 87,145,032,611.39/190,824.75
  6. Step 6: Final answer
    x = 456,675.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.