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Finding the Third Proportional to 112,999.50 and 233,349.75

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Solution

The third proportional to 112,999.50 and 233,349.75 is: 481,879.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,999.50 : 233,349.75 = 233,349.75 : x
  2. Step 2: Convert to fraction form
    112,999.50/233,349.75 = 233,349.75/x
  3. Step 3: Cross multiply
    112,999.50x = 233,349.75 × 233,349.75
  4. Step 4: Simplify right side
    112,999.50x = 54,452,105,825.06
  5. Step 5: Solve for x
    x = 54,452,105,825.06/112,999.50
  6. Step 6: Final answer
    x = 481,879.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.