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Finding the Third Proportional to 162,576 and 231,768

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Solution

The third proportional to 162,576 and 231,768 is: 330,407.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,576 : 231,768 = 231,768 : x
  2. Step 2: Convert to fraction form
    162,576/231,768 = 231,768/x
  3. Step 3: Cross multiply
    162,576x = 231,768 × 231,768
  4. Step 4: Simplify right side
    162,576x = 53,716,405,824
  5. Step 5: Solve for x
    x = 53,716,405,824/162,576
  6. Step 6: Final answer
    x = 330,407.97

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.