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Finding the Third Proportional to 167,816 and 256,098

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Solution

The third proportional to 167,816 and 256,098 is: 390,822.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,816 : 256,098 = 256,098 : x
  2. Step 2: Convert to fraction form
    167,816/256,098 = 256,098/x
  3. Step 3: Cross multiply
    167,816x = 256,098 × 256,098
  4. Step 4: Simplify right side
    167,816x = 65,586,185,604
  5. Step 5: Solve for x
    x = 65,586,185,604/167,816
  6. Step 6: Final answer
    x = 390,822.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.