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Finding the Third Proportional to 226,510.88 and 306,550.13

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Solution

The third proportional to 226,510.88 and 306,550.13 is: 414,871.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,510.88 : 306,550.13 = 306,550.13 : x
  2. Step 2: Convert to fraction form
    226,510.88/306,550.13 = 306,550.13/x
  3. Step 3: Cross multiply
    226,510.88x = 306,550.13 × 306,550.13
  4. Step 4: Simplify right side
    226,510.88x = 93,972,979,137.52
  5. Step 5: Solve for x
    x = 93,972,979,137.52/226,510.88
  6. Step 6: Final answer
    x = 414,871.82

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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.