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Finding the Third Proportional to 153,967 and 236,351

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Solution

The third proportional to 153,967 and 236,351 is: 362,816.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,967 : 236,351 = 236,351 : x
  2. Step 2: Convert to fraction form
    153,967/236,351 = 236,351/x
  3. Step 3: Cross multiply
    153,967x = 236,351 × 236,351
  4. Step 4: Simplify right side
    153,967x = 55,861,795,201
  5. Step 5: Solve for x
    x = 55,861,795,201/153,967
  6. Step 6: Final answer
    x = 362,816.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.