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Finding the Third Proportional to 115,652 and 240,538

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Solution

The third proportional to 115,652 and 240,538 is: 500,281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,652 : 240,538 = 240,538 : x
  2. Step 2: Convert to fraction form
    115,652/240,538 = 240,538/x
  3. Step 3: Cross multiply
    115,652x = 240,538 × 240,538
  4. Step 4: Simplify right side
    115,652x = 57,858,529,444
  5. Step 5: Solve for x
    x = 57,858,529,444/115,652
  6. Step 6: Final answer
    x = 500,281.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.