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Finding the Third Proportional to 196,228.69 and 266,310.56

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Solution

The third proportional to 196,228.69 and 266,310.56 is: 361,421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,228.69 : 266,310.56 = 266,310.56 : x
  2. Step 2: Convert to fraction form
    196,228.69/266,310.56 = 266,310.56/x
  3. Step 3: Cross multiply
    196,228.69x = 266,310.56 × 266,310.56
  4. Step 4: Simplify right side
    196,228.69x = 70,921,315,699.07
  5. Step 5: Solve for x
    x = 70,921,315,699.07/196,228.69
  6. Step 6: Final answer
    x = 361,421.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.