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Finding the Third Proportional to 226,081.13 and 307,025.44

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Solution

The third proportional to 226,081.13 and 307,025.44 is: 416,950.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,081.13 : 307,025.44 = 307,025.44 : x
  2. Step 2: Convert to fraction form
    226,081.13/307,025.44 = 307,025.44/x
  3. Step 3: Cross multiply
    226,081.13x = 307,025.44 × 307,025.44
  4. Step 4: Simplify right side
    226,081.13x = 94,264,619,272.07
  5. Step 5: Solve for x
    x = 94,264,619,272.07/226,081.13
  6. Step 6: Final answer
    x = 416,950.42

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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.