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Finding the Third Proportional to 112,227.75 and 240,021

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Solution

The third proportional to 112,227.75 and 240,021 is: 513,331.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,227.75 : 240,021 = 240,021 : x
  2. Step 2: Convert to fraction form
    112,227.75/240,021 = 240,021/x
  3. Step 3: Cross multiply
    112,227.75x = 240,021 × 240,021
  4. Step 4: Simplify right side
    112,227.75x = 57,610,080,441
  5. Step 5: Solve for x
    x = 57,610,080,441/112,227.75
  6. Step 6: Final answer
    x = 513,331.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.