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Finding the Third Proportional to 190,233 and 284,829.75

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Solution

The third proportional to 190,233 and 284,829.75 is: 426,466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,233 : 284,829.75 = 284,829.75 : x
  2. Step 2: Convert to fraction form
    190,233/284,829.75 = 284,829.75/x
  3. Step 3: Cross multiply
    190,233x = 284,829.75 × 284,829.75
  4. Step 4: Simplify right side
    190,233x = 81,127,986,485.06
  5. Step 5: Solve for x
    x = 81,127,986,485.06/190,233
  6. Step 6: Final answer
    x = 426,466.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.