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Finding the Third Proportional to 150,178 and 266,964

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Solution

The third proportional to 150,178 and 266,964 is: 474,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,178 : 266,964 = 266,964 : x
  2. Step 2: Convert to fraction form
    150,178/266,964 = 266,964/x
  3. Step 3: Cross multiply
    150,178x = 266,964 × 266,964
  4. Step 4: Simplify right side
    150,178x = 71,269,777,296
  5. Step 5: Solve for x
    x = 71,269,777,296/150,178
  6. Step 6: Final answer
    x = 474,568.69

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.