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Finding the Third Proportional to 189,814.09 and 266,960.30

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Solution

The third proportional to 189,814.09 and 266,960.30 is: 375,461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,814.09 : 266,960.30 = 266,960.30 : x
  2. Step 2: Convert to fraction form
    189,814.09/266,960.30 = 266,960.30/x
  3. Step 3: Cross multiply
    189,814.09x = 266,960.30 × 266,960.30
  4. Step 4: Simplify right side
    189,814.09x = 71,267,800,889.70
  5. Step 5: Solve for x
    x = 71,267,800,889.70/189,814.09
  6. Step 6: Final answer
    x = 375,461.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.