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Finding the Third Proportional to 116,924.50 and 182,231.50

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Solution

The third proportional to 116,924.50 and 182,231.50 is: 284,015.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,924.50 : 182,231.50 = 182,231.50 : x
  2. Step 2: Convert to fraction form
    116,924.50/182,231.50 = 182,231.50/x
  3. Step 3: Cross multiply
    116,924.50x = 182,231.50 × 182,231.50
  4. Step 4: Simplify right side
    116,924.50x = 33,208,319,592.25
  5. Step 5: Solve for x
    x = 33,208,319,592.25/116,924.50
  6. Step 6: Final answer
    x = 284,015.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.