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Finding the Third Proportional to 114,696.50 and 269,889.75

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Solution

The third proportional to 114,696.50 and 269,889.75 is: 635,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,696.50 : 269,889.75 = 269,889.75 : x
  2. Step 2: Convert to fraction form
    114,696.50/269,889.75 = 269,889.75/x
  3. Step 3: Cross multiply
    114,696.50x = 269,889.75 × 269,889.75
  4. Step 4: Simplify right side
    114,696.50x = 72,840,477,155.06
  5. Step 5: Solve for x
    x = 72,840,477,155.06/114,696.50
  6. Step 6: Final answer
    x = 635,071.49

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.