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Finding the Third Proportional to 114,688.41 and 269,839.41

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Solution

The third proportional to 114,688.41 and 269,839.41 is: 634,879.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,688.41 : 269,839.41 = 269,839.41 : x
  2. Step 2: Convert to fraction form
    114,688.41/269,839.41 = 269,839.41/x
  3. Step 3: Cross multiply
    114,688.41x = 269,839.41 × 269,839.41
  4. Step 4: Simplify right side
    114,688.41x = 72,813,305,165.35
  5. Step 5: Solve for x
    x = 72,813,305,165.35/114,688.41
  6. Step 6: Final answer
    x = 634,879.39

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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.