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Finding the Third Proportional to 268,651.69 and 365,077.13

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Solution

The third proportional to 268,651.69 and 365,077.13 is: 496,111.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,651.69 : 365,077.13 = 365,077.13 : x
  2. Step 2: Convert to fraction form
    268,651.69/365,077.13 = 365,077.13/x
  3. Step 3: Cross multiply
    268,651.69x = 365,077.13 × 365,077.13
  4. Step 4: Simplify right side
    268,651.69x = 133,281,307,198.27
  5. Step 5: Solve for x
    x = 133,281,307,198.27/268,651.69
  6. Step 6: Final answer
    x = 496,111.93

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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.