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Finding the Third Proportional to 111,840.75 and 235,224

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Solution

The third proportional to 111,840.75 and 235,224 is: 494,724.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,840.75 : 235,224 = 235,224 : x
  2. Step 2: Convert to fraction form
    111,840.75/235,224 = 235,224/x
  3. Step 3: Cross multiply
    111,840.75x = 235,224 × 235,224
  4. Step 4: Simplify right side
    111,840.75x = 55,330,330,176
  5. Step 5: Solve for x
    x = 55,330,330,176/111,840.75
  6. Step 6: Final answer
    x = 494,724.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.