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Finding the Third Proportional to 114,690.94 and 269,845.31

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Solution

The third proportional to 114,690.94 and 269,845.31 is: 634,893.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,690.94 : 269,845.31 = 269,845.31 : x
  2. Step 2: Convert to fraction form
    114,690.94/269,845.31 = 269,845.31/x
  3. Step 3: Cross multiply
    114,690.94x = 269,845.31 × 269,845.31
  4. Step 4: Simplify right side
    114,690.94x = 72,816,492,678.22
  5. Step 5: Solve for x
    x = 72,816,492,678.22/114,690.94
  6. Step 6: Final answer
    x = 634,893.17

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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.