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Finding the Third Proportional to 241,455 and 327,928.50

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Solution

The third proportional to 241,455 and 327,928.50 is: 445,371.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,455 : 327,928.50 = 327,928.50 : x
  2. Step 2: Convert to fraction form
    241,455/327,928.50 = 327,928.50/x
  3. Step 3: Cross multiply
    241,455x = 327,928.50 × 327,928.50
  4. Step 4: Simplify right side
    241,455x = 107,537,101,112.25
  5. Step 5: Solve for x
    x = 107,537,101,112.25/241,455
  6. Step 6: Final answer
    x = 445,371.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.