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Finding the Third Proportional to 150,133 and 233,811

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Solution

The third proportional to 150,133 and 233,811 is: 364,127.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,133 : 233,811 = 233,811 : x
  2. Step 2: Convert to fraction form
    150,133/233,811 = 233,811/x
  3. Step 3: Cross multiply
    150,133x = 233,811 × 233,811
  4. Step 4: Simplify right side
    150,133x = 54,667,583,721
  5. Step 5: Solve for x
    x = 54,667,583,721/150,133
  6. Step 6: Final answer
    x = 364,127.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.