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Finding the Third Proportional to 226,391.20 and 306,371.74

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Solution

The third proportional to 226,391.20 and 306,371.74 is: 414,608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,391.20 : 306,371.74 = 306,371.74 : x
  2. Step 2: Convert to fraction form
    226,391.20/306,371.74 = 306,371.74/x
  3. Step 3: Cross multiply
    226,391.20x = 306,371.74 × 306,371.74
  4. Step 4: Simplify right side
    226,391.20x = 93,863,644,411.00
  5. Step 5: Solve for x
    x = 93,863,644,411.00/226,391.20
  6. Step 6: Final answer
    x = 414,608.18

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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.