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Finding the Third Proportional to 150,253 and 233,993

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Solution

The third proportional to 150,253 and 233,993 is: 364,403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,253 : 233,993 = 233,993 : x
  2. Step 2: Convert to fraction form
    150,253/233,993 = 233,993/x
  3. Step 3: Cross multiply
    150,253x = 233,993 × 233,993
  4. Step 4: Simplify right side
    150,253x = 54,752,724,049
  5. Step 5: Solve for x
    x = 54,752,724,049/150,253
  6. Step 6: Final answer
    x = 364,403.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.