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Finding the Third Proportional to 167,130 and 255,991

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Solution

The third proportional to 167,130 and 255,991 is: 392,098.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,130 : 255,991 = 255,991 : x
  2. Step 2: Convert to fraction form
    167,130/255,991 = 255,991/x
  3. Step 3: Cross multiply
    167,130x = 255,991 × 255,991
  4. Step 4: Simplify right side
    167,130x = 65,531,392,081
  5. Step 5: Solve for x
    x = 65,531,392,081/167,130
  6. Step 6: Final answer
    x = 392,098.32

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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.