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Finding the Third Proportional to 226,515 and 306,555.75

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Solution

The third proportional to 226,515 and 306,555.75 is: 414,879.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,515 : 306,555.75 = 306,555.75 : x
  2. Step 2: Convert to fraction form
    226,515/306,555.75 = 306,555.75/x
  3. Step 3: Cross multiply
    226,515x = 306,555.75 × 306,555.75
  4. Step 4: Simplify right side
    226,515x = 93,976,427,858.06
  5. Step 5: Solve for x
    x = 93,976,427,858.06/226,515
  6. Step 6: Final answer
    x = 414,879.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.