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Finding the Third Proportional to 207,901.69 and 234,555.75

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Solution

The third proportional to 207,901.69 and 234,555.75 is: 264,627

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,901.69 : 234,555.75 = 234,555.75 : x
  2. Step 2: Convert to fraction form
    207,901.69/234,555.75 = 234,555.75/x
  3. Step 3: Cross multiply
    207,901.69x = 234,555.75 × 234,555.75
  4. Step 4: Simplify right side
    207,901.69x = 55,016,399,858.06
  5. Step 5: Solve for x
    x = 55,016,399,858.06/207,901.69
  6. Step 6: Final answer
    x = 264,627

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.