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Finding the Third Proportional to 123,571.50 and 269,796

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Solution

The third proportional to 123,571.50 and 269,796 is: 589,050.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,571.50 : 269,796 = 269,796 : x
  2. Step 2: Convert to fraction form
    123,571.50/269,796 = 269,796/x
  3. Step 3: Cross multiply
    123,571.50x = 269,796 × 269,796
  4. Step 4: Simplify right side
    123,571.50x = 72,789,881,616
  5. Step 5: Solve for x
    x = 72,789,881,616/123,571.50
  6. Step 6: Final answer
    x = 589,050.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.