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Finding the Third Proportional to 159,200 and 236,576

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Solution

The third proportional to 159,200 and 236,576 is: 351,559.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,200 : 236,576 = 236,576 : x
  2. Step 2: Convert to fraction form
    159,200/236,576 = 236,576/x
  3. Step 3: Cross multiply
    159,200x = 236,576 × 236,576
  4. Step 4: Simplify right side
    159,200x = 55,968,203,776
  5. Step 5: Solve for x
    x = 55,968,203,776/159,200
  6. Step 6: Final answer
    x = 351,559.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.