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Finding the Third Proportional to 137,620.50 and 207,816

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Solution

The third proportional to 137,620.50 and 207,816 is: 313,815.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,620.50 : 207,816 = 207,816 : x
  2. Step 2: Convert to fraction form
    137,620.50/207,816 = 207,816/x
  3. Step 3: Cross multiply
    137,620.50x = 207,816 × 207,816
  4. Step 4: Simplify right side
    137,620.50x = 43,187,489,856
  5. Step 5: Solve for x
    x = 43,187,489,856/137,620.50
  6. Step 6: Final answer
    x = 313,815.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.